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 413583: Hi I'm just wondering if when you're working out a problem with logarithms and you get down to x2=4 if the answer would be just 2 or +-2. I can't remember the rule.
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Question 413834: Express as a logarithm of a single number or expression : log10x-4log10y
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Question 413898: ln(3x+2)<5
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Question 413903: 2log2x-log2(x+3)=2
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Question 413902: write an equation of the exponential function passing through (o,-2)(-2,-32)
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Question 414181: Find all of the critical points for f(x).
f (x) = x^3 + 10x^2 + 25x - 50
One critical point is (-5/3, -1850/27).
What is the remaining critical point?
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Question 413900: write as a single logarithium
1/2logb16+(2logbx - log bxy)
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Question 414366: when two resistors are wired in parallel the total resistance (Rt) is determined using the following formula
1/Rt = 1/R1 + 1/R2
Solve the formula for R1
a complex fraction? I hope I typed it correctly.
Click here to see answer by MathLover1(20850)

Question 414431: Hi could you please show me the steps to evaluate log base 2? thanks so much
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Question 414431: Hi could you please show me the steps to evaluate log base 2? thanks so much
Click here to see answer by josmiceli(19441)

Question 414473: Can you help me solve the following equation for x please?
No decimal answers
ln(x) - ln(9-x) = 8
I tried it and got as far as: ln(x/9-x)=8
e^8=x/(9-x)
e^8(9-x)=x
9e^8-xe^8=x
Click here to see answer by jim_thompson5910(35256)

Question 414494: Can you explain WHY 10^log(2) equals 2? (The base of log being 10 of course)
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Question 414470: Can you please help me solve the following problem?:
Simplify the expression. (Do not expand the expression in the denominator.)
(e^4x-e^-4x)^2 - (e^4x+e^-4x)^2/ (e^4x+e^-4x)^2
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Question 414544: Can you please explain this problem to me..I don't understand
(-3x^6y)^3
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Question 414920: need help with finding out how to factor 54876 on my ti 84 calculator
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Question 414835: Please help me find x to the nearest hundredth:
This is what i have so far:
600/20= 20e^2x/20
30=e^2x
log30=elog2x
I am not sure what to do from here.

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Question 414909: there is a question sayins solve for x. and shows 27^2x+1=9^4x

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Question 415391: Simplify and rewrite the expression with positive exponents.
(x^-2)(y^4)(z^-3)^2 /(x-^3)(y^4)(z^-5)
Click here to see answer by sudhanshu_kmr(1152)

Question 414844: Inx + In(x-2) = 1

The answer should be: 1 + Square root of 1+e =2.928
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Question 415395: What is this. Find x,y and z
log3(log4(log5x))=log4(log5(log3y))=log5(log3(log4z))=0
The numbers, log3<-...log4<-...log5<-, are bases.
Click here to see answer by jsmallt9(3758)

Question 415743: ferdinand saved 10 pesos on the first day of the year. 12 pesos on the second day.14 pesos on the third day and so on, up to the of the year. how much did he save on the 365th day?

Click here to see answer by sudhanshu_kmr(1152)

Question 415741: ferdinand saved 10 pesos on the first day of the year. 12 pesos on the second day.14 pesos on the third day and so on, up to the of the year. how much did he save on the 365th day?

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Question 415797: Differentiate please. 2e^(ln(x+ 1))
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Question 415938: y=70(0.50)^x
what percent of increase or decrease does the function model
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Question 415951: Find t:
70=5+90e^.018t
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Question 416091: I am trying to help my son and am stuck. How do I write an equation for finding out the value of a car that loses 17% each year? Original value us $35,000. I know how to do the math, but can not figure out the equation. Think it is an exponential?
Click here to see answer by stanbon(75887)

Question 416099: Condense the expression
Inx-In6-2Inx
Click here to see answer by Alan3354(69443)

Question 416102: solve the equation and round it to the nearest 3 decimal places if necessary.
ln(x-2)+3=6
Click here to see answer by ankor@dixie-net.com(22740)

Question 416151: How do you solve this problem. And please explain because I am having trouble.
log x = 2 log a 3 + log a 5
To do this I just first switched it so that log x = 2 would be at the end instead of the beginning.
And then I used the first law of logarithm and got this:
2loga^15=logaX
Now what?
Click here to see answer by ankor@dixie-net.com(22740)

Question 416544: solve: 3^-2x+1 * 3^-2x-3= 3^-x
exponential equation not requiring logorithms
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Question 416584: express as a sum of logarithms,simplify if possible.
log2(32*8)
Click here to see answer by jim_thompson5910(35256)

Question 416592: 6^3m*6^-m=6^-2m
tried 3m*-m=-2m
3m+2m=-m
but I think maybe 3m-2m-1m= 0 but not sure how; please show

Click here to see answer by jim_thompson5910(35256)

Question 416652: How do I set this up so I can solve it, it's a word proble.
An anthropologist studying the bones of a prehistoric person finds there is so little remaining Carbon-14 in the bones that instruments cannot measure it. This means 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?
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Question 416710: log3 x= -2 simplify/ solve please help!
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Question 416707: Please help me solve this equation! log2 x+ log2 (x+1)=1
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Question 417286: a^x = 1 + bx
a and b are known; find x
x=0 is a trivial solution that does not depend on a or b, so this doesn't help.
I already have a logarithmic expansion to a solvable cubic equation; and I have a heuristic. If there is nothing more elegant, your conclusion to that effect would be informative.
Thanks.
Click here to see answer by richard1234(7193)

Question 417397: Hi there :) If I wanted to cancel out a sqrt sighn with a small 3 in the upper left hand corner how would I do this? Thanks!
Click here to see answer by ewatrrr(24785)

Question 417397: Hi there :) If I wanted to cancel out a sqrt sighn with a small 3 in the upper left hand corner how would I do this? Thanks!
Click here to see answer by richard1234(7193)

Question 417405: How would you cancel out the sqrt sign in a problem like this. A small three in the left hand corner outside of the sqrt sign with a three under the sqrt sign? THanks!
Click here to see answer by ewatrrr(24785)

Question 417394: Hi I am studying for a test and can not figure out how to solve 9^(-3x)=7. Could you show me step by step how to solve it? Thank you!
Click here to see answer by Alan3354(69443)

Question 417496: Is there a way to find the value of the exponent in the 2^x = 66 mathematically?
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Question 417540: can we get help on f(x)=(1/2)to the power(x+2)
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Question 417033: exponential equation whose graph passes through given points (1,5)(2,7)

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Question 417395: What are the steps in solving log(base)4(arugment)x+log(base)4(argument)(x-3)=1? THank you so much :)
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