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 471049: 5. Change the logarithmic expression to an equivalent expression involving an exponent.
log[2](1/32)=k
can someone help me out?
Click here to see answer by lwsshak3(6498)

Question 471048: 4. Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph.
f(x)=5^(-x)-4

please help.
Click here to see answer by lwsshak3(6498)

Question 470779: 1/4log(x)-log(100)=2
solve the equation by finding the exact solution
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Question 470432: Solve the logarithmic equation using the one-to-one property.
log (x + 5) = log (5x - 4)
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Question 470401: Write the equation in its equivalent logarithmic form.
5^-2=1/25 (raised to negative 2 power)
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Question 474932: x^logx = 100x
Click here to see answer by Theo(3461)

Question 475306: The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion.
In what year will the GDP reach $2 trillion? You just need to give the year, not part of a year.

Click here to see answer by Theo(3461)

Question 475305: An anthropologist finds there is so little remaining Carbon-14 in a prehistoric bone that instruments cannot measure it. This means that there is less than 0.5% of the amount of Carbon-14 the bones would have contained when the person was alive. How long ago did the person die? Round your answer to the nearest thousand. (22,000, etc)
Click here to see answer by ankor@dixie-net.com(15650)

Question 475505: Solve the equation 2^(2x – 1) = 8^(x + 7)
Click here to see answer by ewatrrr(10682)

Question 475611: I CAN NOT SOLVE THESE AT ALL ! HELP PLEASE! I REALLY NEED THE ANSWERS, PLEASE AND THANKYOU .
log(3)5+log(3)X=log(3)10
log(1/7)X=-1
2ln3x+1=5
log(3)0.1+2log(3)x=log(3)2+log(3)5
log(b)9=2
1/4log(2)16+1/2log(2)49=log(2)x
3^n^-2=27
2^2^n=16^-1
4^3^x=10
2^e^x-5=1
these are the answer choices , only one goes for each . PLEASE CAN YOU SOLVE EACH ONE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE !!!!!! I DO NOT KNOW HOW TO DO IT ON A CALCULATOR , IVE TRIED !!!! THANKYOU SO MUCH !
10 , -2 , 14 , 3 , 2.4630 , 0.5537 , 3.2147 , 7 , 5 , 2 , 1.0986 , 4
Click here to see answer by Alan3354(30993)

Question 475604: I CAN NOT SOLVE THESE AT ALL ! HELP PLEASE! I REALLY NEED THE ANSWERS, PLEASE AND THANKYOU .
log(3)5+log(3)X=log(3)10
log(1/7)X=-1
2ln3x+1=5
log(3)0.1+2log(3)x=log(3)2+log(3)5
log(b)9=2
1/4log(2)16+1/2log(2)49=log(2)x
3^n^-2=27
2^2^n=16^-1
4^3^x=10
2^e^x-5=1
these are the answer choices , only one goes for each . PLEASE CAN YOU SOLVE EACH ONE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE !!!!!! I DO NOT KNOW HOW TO DO IT ON A CALCULATOR , IVE TRIED !!!! THANKYOU SO MUCH !
10 , -2 , 14 , 3 , 2.4630 , 0.5537 , 3.2147 , 7 , 5 , 2 , 1.0986 , 4
Click here to see answer by Alan3354(30993)

Question 475629: You buy a commemorative coin for $25. The Value of the coin increases 3.25% per year. How much will the coin be worth in 15 years? Round to the nearest cent.
PLEASE ANSWER THIS FOR ME !!!!!!!!!!!!
$39.10 IS WRONG .
Click here to see answer by lwsshak3(6498)

Question 475719: what would be number name of 5 raise to four.
Click here to see answer by stanbon(57337)

Question 475892: log 16 32 = x +2 find the solution and explain the steps
Click here to see answer by lwsshak3(6498)

Question 475985: (48xy)^-3/8 rewrite with positive exponents. thanks!
Click here to see answer by stanbon(57337)

Question 476268: You are thinking of building a new machine that will save you $1000 in the first year. The machine will then begin to wear out so that the savings declines at a rate of 2% per year forever. What is the present value of the savings? (r=6%)
Click here to see answer by Theo(3461)

Question 476279: (3^x)+(4^x)=5^x. find x.
Click here to see answer by Alan3354(30993)

Question 476342: For a function f(x)=b^x the domain is:

Click here to see answer by Tatiana_Stebko(1326)

Question 476485: 12 a. Express as a single logarithm: 3 log a + log 1 – log b
b. Solve: x = log4 (1/16)

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Question 476622: how do you solve 3^2 3^2-2
and how do you solve 2^3-(-1)+4
Click here to see answer by Alan3354(30993)

Question 476731: 10^4x-5=11
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Question 476745: How much would $200 invested at 6% interest compounded annually be worth after 5 years ?
Click here to see answer by checkley79(3050)

Question 476932: Hi,
If x= log of 2 to the base 15; y= log of 3 to the base 10 and z=log of 5 to the base 6 then evaluate xy+yz+zx+2xyz
Regards,
AN
Click here to see answer by lwsshak3(6498)

Question 477838: The half-life of a certain radioactive material is 76 hours. An initial amount of the material has a mass of 794 kg.
1. Write an exponential function that models the decay of this material.
2. Calculate the amount of radioactive material remaining after 15 hours. Round your answer to the nearest thousandth.

Click here to see answer by stanbon(57337)

Question 478370: please help me solve this equation thanks
Click here to see answer by stanbon(57337)

Question 478384: please help me solve for x: thank you
Click here to see answer by Alan3354(30993)

Question 478395: please help me solve for x: 2logx=log2+log(3x-4) thanks
Click here to see answer by lwsshak3(6498)

Question 478393: please help me solve this equation thanks
Click here to see answer by Alan3354(30993)

Question 471051: 6. Graph the function below. Determine the (A)domain,(B) range, and(C) vertical asymptote. Please show all of your work. (D)Submit your graph.
f(x)=ln(x)+5
Can someone please help me with this?Monster problem!
Click here to see answer by lwsshak3(6498)

Question 479088: Solve log(4x + 10) = 3. Round your answer to the nearest tenth.
Click here to see answer by robertb(4012)

Question 479085: The amount of money in an account with continuously compounded interest is given by the formula A = Pe^rt, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest tenth of a year how long it takes for an amount of money to double if interest is compounded continuously at 6.2%.
Click here to see answer by robertb(4012)

Question 479086: Use natural logarithms to solve the equation below. Round your answer to the nearest thousandth.
(6e^4x) - 2 = 3
Click here to see answer by lwsshak3(6498)

Question 479087: Solve ln(2x - 1) = 8. Round your answer to the nearest thousandth.
Click here to see answer by Tatiana_Stebko(1326)

Question 479316: Expand the logarithmic expression.
(Log7)n/2
Click here to see answer by stanbon(57337)

Question 479374: Solve 4^5x = 66. Round to the nearest ten-thousandths.
Click here to see answer by edjones(7569)

Question 479387: how to show substitution 5n+3;n=-2
Click here to see answer by rfer(12657)

Question 479407: how to show substitution -2n+4+6n;n=-3
Click here to see answer by solver91311(16884)

Question 479406: show substitution -2n+4+6n;n=-3
Click here to see answer by solver91311(16884)

Question 479404: show substitation -2n+4+6n;n=-3
Click here to see answer by solver91311(16884)

Question 479472: (81/64)^-1/2
Click here to see answer by stanbon(57337)

Question 479472: (81/64)^-1/2
Click here to see answer by MathLover1(6632)

Question 479478: (3x^2)^-1/6x^-3
Click here to see answer by stanbon(57337)

Question 479477: How do you simplify log10(10^7)? I have looked in my book and still do not understand
Click here to see answer by stanbon(57337)

Question 479480: (4^-1 + 2^-1)^2
I know that i have to apply the negative exponent property to each term, and then get a common denominator and add, but that is about all i can figure out.
Click here to see answer by stanbon(57337)

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