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 133311: Please write the following with steps
Draw a graph of each function by first writing an equivalent exponential form and then making a table of values
I am only having trouble with writing an equivalent exponential form
y = log2(x plus 1)
Click here to see answer by stanbon(57347)

Question 133310: Please write the following with steps
Draw a graph of each function by first writing an equivalent exponential form and then making a table of values
I am only having trouble with writing an equivalent exponential form
y = log2x
Click here to see answer by stanbon(57347)

Question 133318: Evaluate the expression loge(1/e^2)

Click here to see answer by stanbon(57347)

Question 133308: Please write the following, with steps, in logarithimic form
4^3 = 64
Click here to see answer by stanbon(57347)

Question 133307: log9u = -3/2
Please solve with steps
Click here to see answer by stanbon(57347)

Question 133321: Solve for x:2 to the power of x^2 -5x = 8
Please show steps
Thank you:)
Click here to see answer by nycsharkman(136)

Question 133306: log4x = 0.5
Please solve with steps
Thank:)
Click here to see answer by vleith(2825)

Question 133319: Find the unknown in the equation log5(-2500) = log5(5^n+2 minus 5^n+3) (Note: In one of the steps, you will need to get rid of the minus sign in -2500)

Click here to see answer by vleith(2825)

Question 133304: log10x = -3
Please solve using steps
I appreciate it:)
Click here to see answer by vleith(2825)

Question 133330: Solve for x:2 to the power of x^2 -5x = 8
Please show steps
Thank you:)

Hey thanks for trying I truly do appreciate it however the answer is
x = 5 plus/minus √37 /(2)
Can someone correct this?

Click here to see answer by jim_thompson5910(28595)

Question 133331: Solve for x: 5 to the power of 2x+3 minus 5 to the power of 2x = 3100
Please show steps, thanks!
Click here to see answer by jim_thompson5910(28595)

Question 133332: logx + log(x + 3) = 1
Can someone show me the steps to get the answer of x= -5 or 2?
Thanks
Click here to see answer by jim_thompson5910(28595)

Question 133333: Please solve e^x = 2 using steps
Click here to see answer by josmiceli(9678)

Question 133333: Please solve e^x = 2 using steps
Click here to see answer by nycsharkman(136)

Question 133333: Please solve e^x = 2 using steps
Click here to see answer by jim_thompson5910(28595)

Question 133326: log v to the power of 4/9 = -0.6666
Please solve with steps
Click here to see answer by josmiceli(9678)

Question 133279: Please solve with steps
27(3^3x+1) = 3
Click here to see answer by josmiceli(9678)

Question 133341: Find the unknown in the equation
log3(3^m+1 plus 3^m+2) = log3 972
Im am having trouble getting to the answer which is m = 4
Please note that the 3 in the log 3 972 is small
Click here to see answer by jim_thompson5910(28595)

Question 133342: Solve for x: 5^2x+3 minus 5^2x = 3100
please show steps
God Bless
Click here to see answer by jim_thompson5910(28595)

Question 133343: Use logs (any base) to find the unknown:
2 to the power of 2x^2-3x = 2 to the power of x^2 - 2x + 12 (there are two answers, please find both using steps)
Click here to see answer by jim_thompson5910(28595)

Question 133348: Solve for x: 3^x+2 plus 3^x = 270
Please use steps
God bless

Click here to see answer by jim_thompson5910(28595)

Question 133349: Solve using logs:2^2x+4 minus 2^2x = 120
Please use steps
God bless
Click here to see answer by jim_thompson5910(28595)

Question 133350: Can someone please solve, using steps

e^blna = a^b
it looks like an alien language
Click here to see answer by jim_thompson5910(28595)

Question 133340: Please find the unknown in the equation using steps
log2 1056 = log2(2^a+5 plus 2^a)
Please note that the 2 in the "log2 1056" is small
Click here to see answer by vleith(2825)

Question 133339: Find the unknown in the equation using steps please:)
log6 7 = log6(6^x+1 plus 6^x+2)
Please note the 6 in the "log6 7" is small
Click here to see answer by josmiceli(9678)

Question 133354: Randolf bought a high-end computer system for $4800. The system depreciates at the rate of 25% each year.
Determine an exponential funciton to model the value of the system over time. YOu might use a table of values with columns for years, the expression for calculation for that year, and the value on that year to help you in your derivation.
I understand how to get the exponential funciton but I am having difficulty with the table, expression and value.
I would appreciate if anyone can help me,
your friend,
Johnathan
Click here to see answer by checkley71(8403)

Question 133337: Please solve with steps: log v to the power of 4/9 = -0.6666
Thanks for attempting but the answer should be 27/8 can anyone help me solve to this answer?
Thanks again
Click here to see answer by stanbon(57347)

Question 133270: Solve using logs: 2 to the power of 2x +4 minus 2 to the power of 2x = 120
Please show steps
Love you guys!
Click here to see answer by scott8148(6628)

Question 133275: Please solve with steps
5(4^x) = 10
Click here to see answer by scott8148(6628)

Question 133327: Use logs (any base) to find the unknown: 2 to the power of 2x^2-3x = 2 to the power of x^2-2x + 12
( there are two answers find both please. Use steps, I would appreciate it:)
Click here to see answer by scott8148(6628)

Question 133329: Please solve using logs:2^2x+4 minus 2 to the power of 2x = 120
Please show steps
Thanks again
Click here to see answer by scott8148(6628)

Question 133397: Use a table of values to graph f(x) and g(x) on the same set of axes.
f(x) = 3^x and g(x) = (1/3)^x
Click here to see answer by stanbon(57347)

Question 133441: Solve for x: 3^x+2 plus 3^x = 270
Please use steps
God bless
How to answer this quesiton with logs appearing in at least one of the steps?
Thanks:)
Click here to see answer by jim_thompson5910(28595)

Question 133438: Find the unknown in the equation log5(-2500) = log5(5^n+2 minus 5^n+3) (Note: In one of the steps, you will need to get rid of the minus sign in -2500)
Thanks for answering the quesiton:) but how can I answer this question with logs appearing in at lest one of the steps(this is my teachers rule)
Click here to see answer by scott8148(6628)

Question 133440: Find the unknown in the equation using steps please:)
log6 7 = log6(6^x+1 plus 6^x+2)
Please note the 6 in the "log6 7" is small: Find the unknown in the equation using steps please:)
How can I answer this quesiton with logs appearing in at least one of the steps?
Thanks again:)
Click here to see answer by stanbon(57347)

Question 133439: Please find the unknown in the equation using steps
log2 1056 = log2(2^a+5 plus 2^a)
Please note that the 2 in the "log2 1056" is small: Please find the unknown in the equation using steps
Thanks for answering the answer is correct:)
but how do I answer this quesiton with logs appearing in at least one of the steps?

Click here to see answer by vleith(2825)

Question 133467: Good day,
can I get help with the following question?
Use a table of values to graph f(x) and g(x) on the same set of axes.
f(x) = 2^3x and g(x) = 8^-x
I am having difficulty with picking the x values what x values would be suitable for this graph?
Click here to see answer by vleith(2825)

Question 133305:

Solve v^4 over 9 = -2 over 3
Please solve using steps
God bless
Click here to see answer by checkley71(8403)

Question 133277: Please solve with steps
2(4^v+1) = 1
Click here to see answer by ankor@dixie-net.com(15652)

Question 133498: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response.
f(x)=(1/2)x

Click here to see answer by vleith(2825)

Question 133499: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response
f(x)= log2x
Click here to see answer by solver91311(16885)

Question 133278: Please solve with steps

2 = 6(3^4f-2)
Click here to see answer by checkley71(8403)

Question 133496: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response.
f(x)=3x - 2
Click here to see answer by elima(1433)

Question 133531: Is this an example of an exponential function?
y = 4800(0.75)^x
Why or why not?
Click here to see answer by vleith(2825)

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