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 359059: Use the properties of logarithms to expand the expression. (Assume all variables are positive.)
loga 6xy^5/z^4

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Question 359058: Solve:(2x-3y)^-3
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Question 359087: Find the value of x. Round to three decimal places.
ln square root of 8x-5 = 2.6

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Question 359219: What is the advantage of expressing a number in scientific notion over decimal notation?
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Question 359219: What is the advantage of expressing a number in scientific notion over decimal notation?
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Question 359648: I would like to know how to figure this problem.... - (-6) power of 6
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Question 359742: Solve for x:
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Question 360518: So how do you solve something like log4(x-4)=1? I don't remember learning about (x-4)...
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Question 360521: Solve for x: log20x+log20(x+1)=1
x= ?
x=?

can i have exact details so i know how to do this later with other problems? please..
and thanks

Click here to see answer by ankor@dixie-net.com(15642)

Question 361762: State the domain and range of the function f(x)=5-(No calculator)
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Question 362358: Find the indefinite integral.
int(59/x - 9 sqrt(x))(dx)
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Question 362360: Find the indefinite integral.
int(5 x^4 - 6 x + 1) (dx)
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Question 362355: Find the indefinite integral.
int $4 x^4 - 4 x + 4 $ dx
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Question 362355: Find the indefinite integral.
int $4 x^4 - 4 x + 4 $ dx
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Question 362347:
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Question 362272: find the associated half life or doubling time.
Q=1800e^-0.025t
could someone please explain to me how to do this problem?
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Question 362337: 3^(-x) = 120 use algebraic procedures to find the exact solution or solutions of the equation.
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Question 362349:
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Question 363175: Find the exact solution:
3^3x-4=5^x
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Question 363634: e^-t = 0.04
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Question 363636: ln x - ln(x-4) =ln 3
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Question 363637: ln (ln x) = 2
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Question 363635: log5 (8-7x) = 3
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Question 363660: Find f(x) such that f '(x) = x^2 + 3 and f(0) = 6.
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Question 363898: I have function f(x)=2^x how do I find the inverse?
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Question 363998: using algebraic procedures to find the exact solution of the equation
log(x^2-44)=2
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Question 364265: Find the inverse function for f(x)= x^2+ 3 on [0, infinity]
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Question 364455: Hi, I'm looking for some serious help. If anyone could help me, by showing all the steps you utilized to get the answer, I would greatly appreciate it.
Section 12.1, #5, pg 826
Directions: Approximate each number using a calculator. Round your answer to three decimal places.
4^(-1.5)

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Question 364457: Hi, I am in need of help. I need to show all the steps I utilized to get the final answer. If someone would be so kind as to help me, as I don't know where I should get started. I would greatly appreciate it. :o)
Pg. 828, # 55
Directions: The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate, and S=the inflated value t years from now. Use this formula to solve. Round your answer to the nearest dollar.

If the inflation rate is 6%, how much will a house now worth $465,000 be worth in 10 years?

Click here to see answer by mananth(12270)

Question 364462: solve v-st=rw for t

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Question 364469: Hi, Could someone please show me how to work through this problem? I don't know the steps to take to find the final answer, so any help you can provide is greatly appreciated.

Pg. 865, #19
Directions: Solve each exponential equation by taking the logarithm on both sides. Express the solution set in terms of logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
e^x=5.7
Click here to see answer by nerdybill(6951)

Question 364473: Hi, Can someone please help me solve this problem? My teacher requires that I show all the steps.

12.5, #1
Directions: The exponential models describe the population of the indicated country, A, in millions, t years after 2006. Use these models to solve.
India A=1095.4e^0.014t
Iraq A=26.8e^0.027t
Japan A= 127.5e^0.001t
Russia A=142.9e^-0.004t
What was the population of Japan in 2006?
Click here to see answer by nerdybill(6951)

Question 364476: Hi, I am in need of desperate help. If someone could please show me the steps I would following to obtain the answer, I would greatly appreciate it.
Section 12.5, # 16
A bird species in danger of extinction has a populatiion that is decreasing exponentially (A=A^oekt). Five years ago the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?

I appreciate your assistance.

Click here to see answer by Alan3354(30990)

Question 364776: how do I graph:
log base 3 (y)=x
y is the argument.
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Question 364809: How do I find the log of the sqrt of (x^4/yz)?
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Question 364983: 8^(3x)=360
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Question 365067: Hi, I am studying for an exam. I do have to turn my work in for credit, and need to show all the steps on how I got my answer. Since I don't really understand Exponential and Logarithmic functions, I was hoping someone could possibly help me with the following problem?
Section 12.4, pg, 866, # 58
Directions: Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, when necessary, use a calculator to obtain a decimal approximation, corrrect to two decimal places, for the solution.
58.)
In x=-4
Any and all help is so very much appreciated. Thanks!
Click here to see answer by Fombitz(13828)

Question 365169: If $5000 is invested at 7.8% interest compound monthly, how much would you have after 54 months?
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Question 365169: If $5000 is invested at 7.8% interest compound monthly, how much would you have after 54 months?
Click here to see answer by Edwin McCravy(8884)

Question 365379: I need help on this equation.

I'm not sure what to do because Im mostly confused with the middle term.
If you can please solve this one, i can do the others on my own.

Thank you.
Click here to see answer by Alan3354(30990)

Question 365498: How do I solve (log x)^3 = log(x^4)?
Thank you
Click here to see answer by ewatrrr(10682)

Question 365673:
solve for t. give exact answer (no decimals, keep it in logs and whatnot).
thank you
Click here to see answer by Alan3354(30990)

Question 365680:
solve for t. give exact answer. (no decimals)
thank you
∆
∆ ∆
Click here to see answer by jim_thompson5910(28536)

Question 365631: Condense the expression: 2(log6 15-log6 25)+ 1/2 log6 1/25
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