Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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Question 1082338: solve the logarithmic equation as shown:
log9 (x-6) - log9 x=1
I got the answer to be -4/7

Click here to see answer by MathTherapy(10552) About Me 

Question 1082307: solve the log equation
log8 5- log8 (x-3)=1
would we set up the equation like this: 5x-3=1 or just 5x=1

Click here to see answer by ikleyn(52800) About Me 

Question 1082445: Solve for x:
ln(x-4)=ln(x+8)-ln5

Click here to see answer by solver91311(24713) About Me 

Question 1084127: Complete the square to write each function in f(x) = a(x-h)^2 + k form. Determine the vertex and the axis of symmetry of the graph of the function. Then plot several points and complete the graph.
f(x) = -2x^2 +4x + 3

Click here to see answer by Fombitz(32388) About Me 
Question 1084127: Complete the square to write each function in f(x) = a(x-h)^2 + k form. Determine the vertex and the axis of symmetry of the graph of the function. Then plot several points and complete the graph.
f(x) = -2x^2 +4x + 3

Click here to see answer by Edwin McCravy(20059) About Me 

Question 1084123: Solve for x.
logx 1/1000 = -3/2

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Question 1084125: Complete the square to write each function in f(x) = a(x-h)^2 + k form. Determine the vertex and the axis of symmetry of the graph of the function. Then plot several points to complete the graph.
f(x) = x^2 - x - 6

Click here to see answer by Boreal(15235) About Me 
Question 1084125: Complete the square to write each function in f(x) = a(x-h)^2 + k form. Determine the vertex and the axis of symmetry of the graph of the function. Then plot several points to complete the graph.
f(x) = x^2 - x - 6

Click here to see answer by MathLover1(20850) About Me 

Question 1084208: Log6 54 + log6 4 =
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1084307: 1/2 log4 64 - 4 + 3 log4 2 =
Click here to see answer by ikleyn(52800) About Me 

Question 1084309: 1 + log3 5
Click here to see answer by Theo(13342) About Me 

Question 1084308: Log 2x + log3 (x-1/2) = 1
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Question 1084425: Log4 1/16
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Question 1084426: 1/2 log5 x = log5 8
-----
log%285%2Cx%29+=+2log%285%2C8%29+=+log%285%2C64%29
x = 64

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Question 1084405: (1/2)2x+1=1
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Question 1084688: write an equation that is equivalent to: 4log2^x+3log2^y=10
the logs have base 2.
thanks,
Gul

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Question 1084950: write an expression that equivalent to 10log10^M+2log10^N-log10^P
the base is 10

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Question 1084986: use log base 5 of 2=0.4307 and log base 5 of 3=0.6826 to approximate the value of log base 5 of 5/3
Click here to see answer by MathLover1(20850) About Me 

Question 1085540: I have a CASIO fx-9750GII. When I try to use scientific notation with a decimal exponent, it says that my syntax is incorrect. The textbook uses a completely different calculator, so it's not much help.
Click here to see answer by math_helper(2461) About Me 

Question 1085656: I own a CASIO fx-9750GII. My math problem is to use a calculator to simplify this problem: (4,168,214*10^24)/(74.612*10^-5.34). My process has been to enter (4168214E24)/(74.612E-5.34). Whenever I press enter, a note comes up saying syntax error. What is my error?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1085727: if logx^2=x/25 find value of x

Click here to see answer by Fombitz(32388) About Me 

Question 1085910: what is the exponential function of 9^2x+1=81^x-1÷3^x find x
Click here to see answer by Alan3354(69443) About Me 

Question 1086395: How would I figure out how long it will take a principal to grow? How long would it take a $250 investment with a compounding APY of 1% to reach $300?
Click here to see answer by Alan3354(69443) About Me 

Question 1086394: Determine an exponential function going through the points (-1,2)(3/2,1/2)

Click here to see answer by stanbon(75887) About Me 

Question 1086504: The population of Blinsk was 28,520 in 2000. In 2008, the population was 33,760. Find the growth function
P(x) that models the population.
a. P(x) = 33,760(1.021)x
b. P(x) = 28,520(1.021)x
c. P(x) = 28,520(8)x

Click here to see answer by Boreal(15235) About Me 

Question 1086796: Use the Change of Base Formula to solve: 22x = 90. Round to the nearest ten-thousandth.

Click here to see answer by Alan3354(69443) About Me 

Question 1087052: Solve for x
log(base 5)(x-8)=1-log(base 5)(x-4)
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".

Click here to see answer by jorel1380(3719) About Me 

Question 1087112: Solve for x to three significant digits.
3 Superscript 6x Baseline equals 5 Superscript 7x minus 6

Click here to see answer by Edwin McCravy(20059) About Me 

Question 1087238: Solve 5^x+2=625
Click here to see answer by MathLover1(20850) About Me 

Question 1087348: I'm currently doing Rules of Exponents and I need help.
Question: https://pasteboard.co/GArNfF7.png
I know you get x^2/y^4 • y^5/x^5 but I don't know what to do afterwards, help?

Click here to see answer by Fombitz(32388) About Me 
Question 1087348: I'm currently doing Rules of Exponents and I need help.
Question: https://pasteboard.co/GArNfF7.png
I know you get x^2/y^4 • y^5/x^5 but I don't know what to do afterwards, help?

Click here to see answer by MathTherapy(10552) About Me 

Question 1087351: Can someone help me with this?
https://pasteboard.co/GAscxwg.png
It's about Rules of Exponents but I'm kinda getting confused with it, explain please.

Click here to see answer by MathLover1(20850) About Me 
Question 1087351: Can someone help me with this?
https://pasteboard.co/GAscxwg.png
It's about Rules of Exponents but I'm kinda getting confused with it, explain please.

Click here to see answer by MathTherapy(10552) About Me 
Question 1087351: Can someone help me with this?
https://pasteboard.co/GAscxwg.png
It's about Rules of Exponents but I'm kinda getting confused with it, explain please.

Click here to see answer by Fombitz(32388) About Me 

Question 1087381: log(base3)3/4 + log(base3)4/5 + log(base3)5/6 + log(base3)6/7 + log(base3)7/8 + log(base3)8/9 divided by log4/5 + log5/6 + log6/7 + log7/8 + log9/10
Please help me solve.
This is what I have so far, but I am not sure if I am on the right path.
log(base3) (3/4*4/5*5/6*6/7*7/8*8/9) divided by log (4/5*5/6*7/8*8/9*9/10)
Thank you!

Click here to see answer by Fombitz(32388) About Me 
Question 1087381: log(base3)3/4 + log(base3)4/5 + log(base3)5/6 + log(base3)6/7 + log(base3)7/8 + log(base3)8/9 divided by log4/5 + log5/6 + log6/7 + log7/8 + log9/10
Please help me solve.
This is what I have so far, but I am not sure if I am on the right path.
log(base3) (3/4*4/5*5/6*6/7*7/8*8/9) divided by log (4/5*5/6*7/8*8/9*9/10)
Thank you!

Click here to see answer by ikleyn(52800) About Me 
Question 1087381: log(base3)3/4 + log(base3)4/5 + log(base3)5/6 + log(base3)6/7 + log(base3)7/8 + log(base3)8/9 divided by log4/5 + log5/6 + log6/7 + log7/8 + log9/10
Please help me solve.
This is what I have so far, but I am not sure if I am on the right path.
log(base3) (3/4*4/5*5/6*6/7*7/8*8/9) divided by log (4/5*5/6*7/8*8/9*9/10)
Thank you!

Click here to see answer by MathTherapy(10552) About Me 

Question 1087565: I am looking for help with this question.
Rewrite 5^(x+4) as a product of factors.
Thank you.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1088032: ^3square root of 2ab^3c^2
Click here to see answer by Alan3354(69443) About Me 

Question 1088045: please Help me solve this problem: If the web pages in Google's index in 2018 were printed and stacked in one pile, what would be the height (in miles) of that pile? suppose a stack of 5oo pages of computer paper is 2in. tall.
What I have done:
f(t)=30(2)^t , prediction of number of pages in 2018? 2018-2012=6
f(t)=30(2)^6=
the number of pages in 2018: 1920 trillion

Click here to see answer by ikleyn(52800) About Me 

Question 1088038: John wants to buy a new sports car, and he estimates that he'll need to make a $4,325.00 down payment towards his purchase. If he has 35 months to save up for the new car, how much should he deposit into his account if the account earns 2.08% compounded continuously so that he may reach his goal ?
Click here to see answer by jorel1380(3719) About Me 

Question 1088288: Differentiation:using product rule Plz help
x^2(x+3)^20
Thx in adv

Click here to see answer by Edwin McCravy(20059) About Me 

Question 1088302: how would you solve the following problem:
e^2x -7e^x + 12 = 0

Click here to see answer by Fombitz(32388) About Me 

Question 1088478: factor the trinominal x2 - 3x - 18
Click here to see answer by Alan3354(69443) About Me 

Question 1088510: In a​ round-robin chess​ tournament, each player is paired with every other player once. The​ function, shown​ below, models the number of chess​ games, N, that must be played in a​ round-robin tournament with x chess players. In a​ round-robin chess tournament with 10 ​players, a total of 45 games were played. Use this information to identify a point on the graph.(Type an ordered​ pair.)
Click here to see answer by ikleyn(52800) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910