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 914765: 3n^2+7n+4
Click here to see answer by jim_thompson5910(35256)

Question 915390: Good day
Here's my question I'm struggling a bit with
Solve for x:
2(to the power of x+2) + 2(to the power of x)/4 + 2(To the power of x) = 42
(2x+2 + 2X/4 + 2X = 42)

Click here to see answer by josgarithmetic(39620)

Question 915704: Find the domain, range, intercepts, and asymptote of the function:
f(x)=ln(3-x)
Click here to see answer by lwsshak3(11628)

Question 916142: How do you solve radical 12X^6Y^5.
Click here to see answer by richwmiller(17219)

Question 916328: Help with this problem?
Find the values of the constants C and b so that the curve y = Cb^(x) contains the points (2 , 16) and (3 , 32)
b = ?? C = ??
Thank you for any explanation!
Click here to see answer by JoelSchwartz(130)

Question 916354: Help with this exponential growth problem?
The size of a bacterial culture grows in such a way that after t minutes, there are P(t)=A x 2^(0.003)(t) bacteria present, for some constant A. After 10 minutes, there are 30,000 bacteria.
What is A?
Thank you for any help!
Click here to see answer by josgarithmetic(39620)

Question 916449: Find a formula for the exponential function passing through the points (-3,4/27) and (2, 36)
Click here to see answer by MathLover1(20850)

Question 916506: Any help with this homework question? Not sure of the formula. Thank you!
"The amount of a sample of a radioactive substance remaining after t years is given by a function of the form Q(t) = Q0e^-0.0001t. At the end of 5,000 years, 50 grams of the substance remain. How many grams were present initially? Round your answer to the nearest hundredth gram."
Click here to see answer by Theo(13342)

Question 916507: Need help with solving this problem, thank you for helping!
Find the values of the constants C and b so that the curve y = Cb^(x) contains the points (4,3) and (5,6). Express your answers as integers or simplified fractions.
Click here to see answer by Theo(13342)

Question 916892: a man invested 100000. he put part 5% interest. on the other hand, he invested the remainder in bonds with 9% yearly return. How much did he put in the banks if his yearly income from the two investments was 7400?

Click here to see answer by josgarithmetic(39620)

Question 917689: How to solve for x:
a^(6k) = e^(kx)
Thank you!
Click here to see answer by josmiceli(19441)

Question 918070: A security firm borrowed $900,000 for business expansion. Some of the money was borrowed at 5%, some at 6%,and some at 7% simple annual interest.The total annual interest is $52,000 and the amount borrowed at 6% is one and a half of that borrowed at 7%.
a. Create a system of equations which captures the essence of the information given.
b. Write the system is matrix form?
c. Using the inverse method,find the amount borrowed at each rate.
Click here to see answer by richwmiller(17219)

Question 918647: Solve for x: log base a(x+6)- log base a(X+2)=log base a X. Assume that a>1.
Click here to see answer by ewatrrr(24785)

Question 918918: z^6+25z^4,z^3-10z^2+25z
Click here to see answer by Alan3354(69443)

Question 919638: what is the answer for derivative of 3x^3
Click here to see answer by srinivas.g(540)

Question 919786: What is the x-intercept of the function below?
F(x) = log7(x - 1)
Click here to see answer by Alan3354(69443)

Question 920020: simply the number
(-32)^6/5
Click here to see answer by stanbon(75887)

Question 920073: (2a)3 = _____
This expression without exponents is?
Click here to see answer by Alan3354(69443)

Question 920176: Solve for m: 4^(5m+2)=4096
Click here to see answer by Fombitz(32388)

Question 920176: Solve for m: 4^(5m+2)=4096
Click here to see answer by ewatrrr(24785)

Question 920255: Find an exponential function "f" of the form f(x)=b^x that passes through the point (2,1/16).
Click here to see answer by josgarithmetic(39620)

Question 920385: If 2^x = 15 and 15^y = 32, find xy
Click here to see answer by mathsnight(4)

Question 920446: how do you solve log(n+2)+log 8=log(n^2+7n+10
Click here to see answer by stanbon(75887)

Question 920594: Condense the equations:
In1 2 - In 4
2 log x + log 11

Click here to see answer by MathLover1(20850)

Question 920592: Expand the expressions:
Log 5 x 5
Log 2 2/5
Click here to see answer by Alan3354(69443)

Question 920739: Find an exponential growth model for the following scenario. A bacterial strain was measured to have a total population of 400 after 2 hours. After 5 hours the population was 900. Use this model to predict the population after 10 hours.
Click here to see answer by Theo(13342)

Question 920740: Find the doubling time for an investment into an account bearing 8.6% interest, compounded monthly.
Click here to see answer by Theo(13342)

Question 921953: Find an approximate solution to the equation. Round any intermediate work and steps to three decimal places. Show all work
2In(x+2.8) = 3.2
Click here to see answer by Fombitz(32388)

Question 922085: (-9y)^5 =
Note: Enter your answer as an exponential (with a base and an exponent)...do not use your calculator to approximate the number using scientific notation. For example, enter 2^5 instead of 32.
Click here to see answer by ewatrrr(24785)

Question 922084: (4^5)^20 =
Note: Enter your answer as an exponential (with a base and an exponent)...do not use your calculator to approximate the number using scientific notation. For example, enter 2^5 instead of 32.
Click here to see answer by ewatrrr(24785)

Question 922081: (20^4)^5 =
Note: Enter your answer as an exponential (with a base and an exponent)...do not use your calculator to approximate the number using scientific notation. For example, enter 2^5 instead of 32.
Click here to see answer by ewatrrr(24785)

Question 922082: 14^8 X 14^3 X 14^7 = ?
Note: Enter your answer as an exponential (with a base and an exponent)...do not use your calculator to approximate the number using scientific notation. For example, enter 2^5 instead of 32.
Click here to see answer by Alan3354(69443)

Question 917818: the number is 6 more than 2 to the 5 power> what is the number?
Click here to see answer by ewatrrr(24785)

Question 922987: (2x^2)(4x^3y^2)
The rule is to multiply the numbers and add the exponents when multiplying, subtract when dividing.
2*4 x^(2+3)y^2 = 8x^5y^2

Click here to see answer by Hawksfan(61)

Question 923066: express 2log3+ 3log2-log6 as a single logarithm
Click here to see answer by MathLover1(20850)

Question 923070: what is the exponential form of log(9)1/81=-2 Note the number in the parenthesis is suppose to be a small number next to the g in log.
Click here to see answer by jim_thompson5910(35256)

Question 923068: express 2log4 + 3log2 as a single logarithm
Click here to see answer by jim_thompson5910(35256)

Question 923064: evaluate log(9)27-long(27)9 The numbers in the parenthesis are suppose to be small numbers that go next to the g in log.
Click here to see answer by MathTherapy(10552)

Question 923069: express log9(2)9 + 2log(2)5 - log(2)3 as a single logarithm. Note that the numbers in the parenthesis are suppose to be small numbers that go next to the g in log.
Click here to see answer by ankor@dixie-net.com(22740)

Question 923272: which expressions are equivalent to 16x?
Click here to see answer by Fombitz(32388)

Question 923267: solve equation and express solution in exact form
log(3+x)-log(x-4)=log2
Click here to see answer by Alan3354(69443)

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