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 133929: What interest will be earned if $3500 is invested for 5 years at 8% compounded quarterly?
Click here to see answer by elima(1433)

Question 134038: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response.
f(x)= log2x
Please help me understand what I should be doing.
Click here to see answer by solver91311(24713)

Question 133942: Radioactive strontium-90 is used in nuclear reactors and decays exponentially with an annual rate of decay of 2.48%. How much pf 50 grams of strontium-90 will be left after 100 years?
Click here to see answer by ankor@dixie-net.com(22740)

Question 133943: How long does it take 12 grams of carbon-14 to decay to 10 grams when the decay is exponential with an annual rate of decay of 0.0124%?
Click here to see answer by ankor@dixie-net.com(22740)

Question 133930: What interest will be earned if $4000 is invested for 6 years at 8% compounded continously?
Click here to see answer by vleith(2983)

Question 134076: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half life of the substance
Click here to see answer by Nate(3500)

Question 134084: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half life of the substance: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half life of the substance
The answer is actually 6.21 years how do I get this answer?
Click here to see answer by Ganesha(13)

Question 134037: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response.
f(x)=(1/2)x Please help me understand how to get to this point.
Click here to see answer by jim_thompson5910(35256)

Question 134079: Find the half-life of a radioactive substance that is reduced by 30% in 20 hours
Click here to see answer by Madgamer107(9)

Question 134074: If $10000 is invested at 6% compounded continously, in approximately how many years will the amount have grown to $15000?
Click here to see answer by nycsharkman(136)

Question 134159: solve the equation.
243^{x+3}=1/9^{3x-2}
Click here to see answer by edjones(8007)

Question 134183: Convert to exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25".
log e 1 = 0

Click here to see answer by oscargut(2103)

Question 134316: Suppose that $2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs?
Click here to see answer by MathLover1(20850)

Question 134605: Write a power Function of the form y=ab^x whose graph passes through the given points: (4,3) (9,4.5)
Click here to see answer by stanbon(75887)

Question 134605: Write a power Function of the form y=ab^x whose graph passes through the given points: (4,3) (9,4.5)
Click here to see answer by vleith(2983)

Question 134777: Please help me solve-
How much should be invested now at (i.e. fid the present value) 4% simple interest to have $4620 in 8 years?
Click here to see answer by checkley77(12844)

Question 135047: Solve the equation. 3^x=10
Click here to see answer by vleith(2983)

Question 135115: how do you solve an equation with x as an exponent.... for ex. 7^x=3^x+1
Click here to see answer by solver91311(24713)

Question 135153: write all real roots of the equation as a decimal.
8. x to the power of 3= 125
Click here to see answer by checkley77(12844)

Question 135168: okay i have two problems
2^(2/3x+1)-3x2^(1/3x)-20=0

also,
2^2x-1 -3x2^x-1 +1=0
help, please.
Click here to see answer by stanbon(75887)

Question 135308: If the graph of y=x^2 is transformed to y=3(2)^(-1/4x-1)+1, what are the coordinates of the new focal point? I think (-4,4)????
Click here to see answer by stanbon(75887)

Question 135482: What is the inverse of y=logbase9 x?
Click here to see answer by stanbon(75887)

Question 135480: Peter is growing two strains of yeast in the labratory. Strain A had originally had 80 cells and is known to quadruple every 2 hours. Strain B initially had 640 cells and doubles every 5 hours. When will Peter observe the same number of cells in the two yeast cultures?
I tried A: y=80(4)^x/2 and B:y=640(2)^x/5 BUT I am not sure if I am correct:( Can someone please help me ???
Click here to see answer by stanbon(75887)

Question 135479: If the graph of y=2^x is transformed to y=3(2)^(-1/4x-1)+1, what are the coordinates of the new focal point? I think it may be (-4,4) but I am not sure. Can someone please help me??
Click here to see answer by stanbon(75887)

Question 135483: A baseball card valued at $100 appreciates 8% every 3 years. If this appreciation rate continues ,write the function that represents the value of the card , V, after t years.
Click here to see answer by stanbon(75887)

Question 135519: this problem comes from a teacher-made worksheet:

Click here to see answer by vleith(2983)

Question 135518: this problem comes from a teacher-made worksheet:

x = 100,-10
-10 is an extraneous solution, so x = 100
Click here to see answer by vleith(2983)

Question 135514:
t = ?
Click here to see answer by vleith(2983)

Question 135544: givin logb 2 = 0.387 and logb 5 = .0898, find logb square root of 20.
Click here to see answer by vleith(2983)

Question 135557: what is the solution to 5w^5/7=160?
Click here to see answer by edjones(8007)

Question 135651: Hi,
Can you help me with this math problem?
13.) Find the function value.
Let f(x) =5x.Find f(-2)
The answer should be 1 over 25
Click here to see answer by stanbon(75887)

Question 135651: Hi,
Can you help me with this math problem?
13.) Find the function value.
Let f(x) =5x.Find f(-2)
The answer should be 1 over 25
Click here to see answer by solver91311(24713)

Question 135656: Hi,
Can you help me with this math problem?
14.) If a logarithmic equation is given, then rewrite it as an equivalent exponential equation. If an exponential equation is given, then rewrite it as an equivalent logarithmic equation.
4-2=1/16
the answer should be log4(1/16)=-2
Click here to see answer by stanbon(75887)

Question 135664: Hi,
Can you help me with this math problem?
16.) Find the inverse of the function.
f(x)=log(x+9)
The answer should be f-1(x)=10^x-9
Click here to see answer by stanbon(75887)

Question 135648: Hi,
Can you help me with this math problem?
Solve the equation.Round your answer to three decimal places.
9x+6=3x
The answer should be -12.000
Thanks
Click here to see answer by checkley77(12844)

Question 135665: Hi,
Can you help me with this math problem?
17.) Solve the equation. Give an exact solution.
1n(3x-1)=1n 1 -1n (x-1)
The answer should be 4/3
Click here to see answer by stanbon(75887)

Question 135663: Hi,
Can you help me with this math problem?
15.) Use a calculator and the base-change formula to find the logarithm to four decimal places.

log9 (65.36)
The answer should be 1.9024
Click here to see answer by stanbon(75887)

Question 135675: Please help me with this problem. Thank You. I don't know where to start with this. Thanks again!
4^-x=1/256

Click here to see answer by nycsharkman(136)

Question 135677: Can someone please help me with this word problem! Thanks a lot.
If $3000 is invested in an account that pays interest compounded continuously, how long will it take to grow $6000 at 7%?
Click here to see answer by nycsharkman(136)

Question 135657: Hi,
Can you help me with this math problem?
12.) Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.
log8 (sqrt8/7)
The answer should be 1/2 log8(8)-log8(7)
Click here to see answer by solver91311(24713)

Question 135678: Could someone please show me how to graph this function-Thank You!
f(x)=3^(x-4)

Click here to see answer by stanbon(75887)

Question 135674: Can someone please show me how to do the following:
write the equation of the graph in its final position:
the graph of y=In(x) is translated 3 units to the right and then 7 units upward.
Thank You.
Click here to see answer by stanbon(75887)

Question 135680: In a survey in 2000, the population of two plant species were found to be growing exponentially. Their growth is given by these equations: species A, P=2000e^0.05t and species B, P=5000e^0.02t, where t=0 in the year 2000.
Based on this information, after how many years will the population of species A be equal to the population of species B in the forest?
Click here to see answer by vleith(2983)

Question 135705: The count in a bacterial culture was 400 after 2 hours and 25,600 after 6 hours.
We are assuming exponential growth.

What is the rate of growth of the population of bacteria?
What was the initial population at time t = 0 hours?
Write the function that models the population n(t) after t hours.
When will the number of bacteria exceed 100,000?
Click here to see answer by jim_thompson5910(35256)

Question 135709: 2. Check for symmetries, find intercepts and asymptotes, analyze the behavior near
the graph of: 4y^2 + x � xy^2 � 1 = 0 (first solve for y^2) Is this thee graph of a function?
Click here to see answer by jim_thompson5910(35256)

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