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

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 602555: can someone help me solve 2^2x+1=15 for x
Click here to see answer by Alan3354(69443)

Question 602596: I need help understanding a couple problems. 1)Find the inverse function, f^ -1(x) for (2/3)x � 1/4
2) Find the inverse function f ^-1(x), for -5x + 6
3) Evaluate the equation below at x = -2, -1, 0, 1, 2, 3,and 4. y = x3 - 3x2 - 2x + 1 graph and plot points.
Thank you for your help and time it is appreciated.
Click here to see answer by stanbon(75887)

Question 602881: What is x^2+10x-12000 factored?
Click here to see answer by Alan3354(69443)

Question 602881: What is x^2+10x-12000 factored?
Click here to see answer by solver91311(24713)

Question 603002: Which expressions are equivalent to the one below? Check all that apply.
log[5]5 * log[2] 4
A. 2 * log[5]5 B. 3*5 C. 2 D. 2*7
Click here to see answer by solver91311(24713)

Question 603018: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
ln(e^3)
A)1 B)3 C)3*lne D)3e
Click here to see answer by asuar010(338)

Question 602558: I need help writing 1/2 log(25) - 3 log(x) as a single logarithum
Click here to see answer by asuar010(338)

Question 603030: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log 2-log 8
A)log(1/4) b)log 4 c)log 2 d)log(2)+log(1/8)
Click here to see answer by stanbon(75887)

Question 603100: which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log[9]1*log[9]81
A)1 B)9*log[9]9 C) 9*9 D) 0
Click here to see answer by penguin18(7)

Question 603210: Still trying to help my son get through this.
x^-3/4=8^-1
I know you have to make like bases but how do I do that with an 8 and x?
also..
7^(a-sqrt b) * 7^(a+sqrt b)= 2a is what he has for an answer, why do the 7s cancel out in this chapter? He is sure they do, I thought the answer would be 49^2a
Thank you!
Click here to see answer by stanbon(75887)

Question 603286: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log^5 125 + log^5 123
a) log^5 15625 b)log 15625 c) 6 d) log^5(5^6)
any? too hard?
Click here to see answer by nerdybill(7384)

Question 603324: Evaluate the following expressions. Show your work.
4.
log(base 3)18

Solve the following logarithmic equations. Show your work.
6.
log(base x)16 = 4
7.
log(base d)12 = 6

Click here to see answer by nerdybill(7384)

Question 603322: the negative cube of -3 or -3 to the -3. when I do it as -3 x -3 x -3 = -27 but when I enter it as -3^-3, I get a different number. why the diffeence?

Click here to see answer by lynnlo(4176)

Question 603462: log 3x= log 4+ log(x-1)
Click here to see answer by solver91311(24713)

Question 603513: Solve the following logarithmic equation:
log(90x+40)=2+log(x-6)
Click here to see answer by stanbon(75887)

Question 603516: Simplify the following expression. log(x^2)-log(x)
Click here to see answer by stanbon(75887)

Question 603655: ab^9=15
42=ab^6
Click here to see answer by Alan3354(69443)

Question 603698: Simplify the following expression.
log(16x^2) + 2 log (1/x)
Click here to see answer by lwsshak3(11628)

Question 603731: [x-4/x^2][x^4/x^2-3x-4]=
a.x^6/x+1
b.x^6/x-4
c.x^2/x+1
d.x^2/x-4

Click here to see answer by lwsshak3(11628)

Question 603615: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log(base 3) 81 + log(base 3) 81
a)log 6561 b) log(base 3) (3^8) c) 8 d) log(base 3) 6561
Click here to see answer by lwsshak3(11628)

Question 604021: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log 5 - log 25
a)log(5)+log(1/25) b)log(1/5) c) log 10 d) log 5
Click here to see answer by solver91311(24713)

Question 604022: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY!!!!
log 5 - log 25
a)log(5)+log(1/25) b)log(1/5) c) log 10 d) log 5
Click here to see answer by solver91311(24713)

Question 604015: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log 2 16+log 2 16
a)log 2 (2^8) b)8 c) log 256 d) log 2 256
Click here to see answer by solver91311(24713)

Question 604117: Simplify the following expression.
log(x^4)-log(x^3)
Click here to see answer by jim_thompson5910(35256)

Question 604142: Which expressions are equivalent to the one below? CHECK ALL THAT APPLY?
log2 2 + log2 8
A) log2 (2^4)
B) 4
C) log2 16
D)log 10
Click here to see answer by stanbon(75887)

Question 604162: log base 10 1/sqrt 1000
what do you raise 10 to to get one over the square root of 1000?
thanks for any help,
Connie
Click here to see answer by stanbon(75887)

Question 604174: Simplify the following expression.

log(9x^5) + 5 log(1/x)
Click here to see answer by nerdybill(7384)

Question 604159: log base 1/3 27
what do you raise 1/3 to to get 27(I think this is how to read the problem)
Can anyone explain how to get the answer please.
Thank you

Click here to see answer by nerdybill(7384)

Question 604130: x-(6/x)=5 Thanks for the help.
Click here to see answer by flame8855(424)

Question 604349: --------------- QUESTION FOLLOWS --------------------------
Which expressions are equivalent to the one below? CHECK ALL THAT APPLY
log[8] 1 * log[3] 27
A)1
B)3*8
C)0
D)3*log[8] 8
Click here to see answer by stanbon(75887)

Question 604382: For any positive number b not equal to 1 and any number or variable and, evaluate the following expression.
log[b] (b^n)
Click here to see answer by flame8855(424)

Question 604446: Please help me solve the exponential equation express the term in log rhythm method
3^(x+2)= 5^(x-2)
Click here to see answer by lynnlo(4176)

Question 604631: Please help!!!! Thanks!!
Write in exponential form (do not solve for x). log3 49= 2x
Click here to see answer by lwsshak3(11628)

Question 604630: Really need help, please and thanks in advance!
Write in logarithmic form (do not solve for x) 6^(2x)=72

Click here to see answer by jim_thompson5910(35256)

Question 604632: I'm seriously going to fail this: Need help please :)
The questions is find the solution set for e^(3x+2)=55
Click here to see answer by jim_thompson5910(35256)

Question 604632: I'm seriously going to fail this: Need help please :)
The questions is find the solution set for e^(3x+2)=55
Click here to see answer by lwsshak3(11628)

Question 604722: For any positive number b not equal to 1 and any number or variable n, evaluate the following expression..
b^log b^n
Click here to see answer by stanbon(75887)

Question 604738: Evaluate the following expression. Round your answer to two decimal places.
log[8] e
Click here to see answer by Alan3354(69443)

Question 604786: Solve the equation for x. Round your answer to two decimal places, and do not include 'x' in answer?
6*4^x=99
Click here to see answer by bucky(2189)

Question 604745: Evaluate the following expression.
e^ln 2
Click here to see answer by alicealc(293)

Question 604905: Solve the equation for x. Round your answer to two decimal places, and do not include "x=" in your answer.
3*e^x=42
Click here to see answer by jim_thompson5910(35256)

Question 604917: e^x x e^3x=4
Can you help me figure this out? My math teacher didn't explain it fully.
Thanks for your help!
Click here to see answer by jim_thompson5910(35256)

Question 604916: e^9 Times e^3x =4
Please help!
Click here to see answer by flame8855(424)

Question 605449: The natural logarithm function
write in exponential form
ln 1/e^2= -2
the example I have been trying to use is log base b a=n is rewritten as b^n=a
I can't tell in this problem if the e that is squared is the one that is the base.
if not then substituting I would get
e^-2= 1/e^2
is this the answer or can I do more to it?
Thank you

Click here to see answer by lwsshak3(11628)

Question 605473: Solve the equation for x. Round your answer to two decimal places, and do not include 'x' in answer

3 * e^x=42
Click here to see answer by Alan3354(69443)

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