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 736276: 1/2logx+log4=2
Click here to see answer by lwsshak3(11628)

Question 736397: simplify (2a)^3

Click here to see answer by Dinu90(1)

Question 736514: Write an exponential function of the form y=ab^x whose graph passes through the given points.
(0,2),(-6,17)
Click here to see answer by MathLover1(20850)

Question 736540: How do you solve
x^-1 - x^-2 = 3/4
I tried the u substitution but did not get the correct answer. I keep getting -1/2 plus or minus i radical 2 over two
But the answer I need to get to is -2,2/3
Please help!
Click here to see answer by josgarithmetic(39620)

Question 736945: why does 3^x grow faster than x^3
Click here to see answer by Alan3354(69443)

Question 736934: You invest $1,300 in an account with an annual interest rate of 2.5%, compounded monthly. How much money is in the account after 5 years? Round your answer to the nearest whole number.

Click here to see answer by jim_thompson5910(35256)

Question 737112: Evaluate 4^log4 8
Log is in the spot an exponent would be. The 4 is slightly under log and the 8 is on the same level as log if this was a little confusing!! Thank you!
Click here to see answer by lwsshak3(11628)

Question 737110: Write 1 - 2log7x as a single logarithm.
Click here to see answer by josgarithmetic(39620)

Question 738696: Log base 9 of 3 to the 3x-4=x. How do I solve for x
Click here to see answer by MathLover1(20850)

Question 739042: 5^-x=1/5
Click here to see answer by MathLover1(20850)

Question 739553: can anyone solve these and explain how please???
log(1/5)x=-2
log(x)125=-3

Click here to see answer by Alan3354(69443)

Question 739606: log(1.00417) how to see in the log table ?
Click here to see answer by Alan3354(69443)

Question 739606: log(1.00417) how to see in the log table ?
Click here to see answer by KMST(5328)

Question 739593: The instructions say: Find the solution of the exponential equation, correct four places.
The problem reads:
5 (X) in the exponent place (cannot do that on this computer)= 16.
I was not in class and not sure how to do the problem.
Can you help>

Click here to see answer by jim_thompson5910(35256)

Question 739684: log2 96 - log2 3
Click here to see answer by nerdybill(7384)

Question 740011: Can you please show me the steps to solve ln10-ln(2x+10)=3 ?
Here is what I have tried so far:
ln10/2x+10=3 (Quotient Property)
log base e of 10/2x+10=3 (ln is the same as log base e)
e^3=10/2x+10 (change to exponential form)
e^3(2x+10)=10 (multiply both sides by 2x+10)
2x+10=10/e^3 (divide both sides by e^3)
2x=10/e^3 -10 (subtract ten from both sides)
x=(10/e^3 -10)/2 (divide both sides by 2)
after plugging everything into a calculator, my answer was about -4.75
Is this the right answer? Is there an easier way to solve this? My teacher put {(5-5e^3)/e^3} as his answer. Why did his answer come out in this format?

Click here to see answer by nerdybill(7384)

Question 740085: lnx+ln(x+3)=ln10
Click here to see answer by MathLover1(20850)

Question 740083: (e to the x power)to the power of 5 equals 1000
Click here to see answer by Alan3354(69443)

Question 740160: Please Help!
25= √5^(2x+6)
explain the strategy used in solving this equation the way you did
Click here to see answer by rothauserc(4718)

Question 740410: Evaluate log(base6)8, and round the answer to two decimal places?
Click here to see answer by Alan3354(69443)

Question 740806: solve logx^2=2 for all values of x
Click here to see answer by Alan3354(69443)

Question 740977: 2(upper arrow)3=8
rewrite
?

Click here to see answer by Alan3354(69443)

Question 741291: given function f is defined as "to each person on earth is assigned a date of birth". is the functionone-one? give reasons.

Click here to see answer by rothauserc(4718)

Question 741620: Find the value of that makes the statement true.
log20x=-1

Click here to see answer by rapaljer(4671)

Question 741727: What is the solution of the equation 6 � 2x = 1? Round your answer to the nearest ten-thousandth.

Click here to see answer by sachi(548)

Question 741841: find asymptotes and holes for (x+4)(x-2) all over (x-6)(x-2)
and graph

Click here to see answer by josgarithmetic(39620)

Question 742149: 1/2log(x+2)=2 solve for x
Click here to see answer by mananth(16946)

Question 742195: One pipe can fill a tank in 20 minutes, while
another takes 30 minutes to fill the same tank. How long would it take the two pipes together to fill the tank?

Click here to see answer by lynnlo(4176)

Question 742684: is log4 64^x = x true or false
Click here to see answer by stanbon(75887)

Question 742733: what are real numbers?
Click here to see answer by tommyt3rd(5050)

Question 743258: 7^x+6=349 Can you solve and check for the equation for x?
Click here to see answer by lwsshak3(11628)

Question 743498: simplify the expression
e^ln3 * log2(4^x)
Click here to see answer by solver91311(24713)

Question 743985: how do you solve log base36(216) without a calculator?
Click here to see answer by josmiceli(19441)

Question 744569: log3*243
Click here to see answer by KMST(5328)

Question 744527: Hi, just hoping that I put this question in the right category. I have a table, and I just can't seem to make an exponential equation out of it. I have tried many times, only to have it work for a couple of the x values. I tried ones such as 2^x+2 - 1 and many more. Thanks in advance for any help given! Here's my table
x f(x)
0 4
1 7
2 13
3 25
4 49
5 97
6 193
Click here to see answer by lynnlo(4176)

Question 745058: e raised to (x squared +6) equals e raised to 5x. Solve for x
Click here to see answer by nerdybill(7384)

Question 745491: 16^(x+4)=8^(3x-2)
Click here to see answer by tommyt3rd(5050)

Question 745655: The question was: Sketch the graph of the function f(x)=3^(x+1). Indicate the y-intercept and the horizontal asymptote. Can anyone help? Please?
Click here to see answer by josgarithmetic(39620)

Question 745685: X^3/4= 8 solve the missing base
Click here to see answer by josgarithmetic(39620)

Question 745760: log(A)=log(A[0])+0.1tlog(.8) Solve for A as a function of t.
Having a bit of difficulty on where to start here. Please help an old man going back to school...
Click here to see answer by KMST(5328)

Question 746048: A to the power of -1 is equal to 1 please prove me how
Click here to see answer by rothauserc(4718)

Question 746192: Please help me solve this equation: 4log(3)-4log(8)
Click here to see answer by Alan3354(69443)

Question 746193: Please help me solve this equation. I am having trouble finding all the steps.
log(16+2x)=log(x^2-4x)
Click here to see answer by josgarithmetic(39620)

Question 746193: Please help me solve this equation. I am having trouble finding all the steps.
log(16+2x)=log(x^2-4x)
Click here to see answer by savvyhush23(50)

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