Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 600325: How do you solve log16 32=x+3?
ive tried 16^x+3=32
Click here to see answer by Alan3354(31518)

Question 600323: log16 32+x=3?
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Question 600323: log16 32+x=3?
Click here to see answer by jim_thompson5910(28715)

Question 600323: log16 32+x=3?
Click here to see answer by stanbon(57966)

Question 600332: I need a lot of help on.... log base 4 (x+1) - log base 4x=3
Click here to see answer by jim_thompson5910(28715)

Question 600332: I need a lot of help on.... log base 4 (x+1) - log base 4x=3
Click here to see answer by stanbon(57966)

Question 600282: what is the indicated value of log3(1/81)
Click here to see answer by stanbon(57966)

Question 600334: how do you solve the problem log16 32= x+3
16 is the base
Click here to see answer by jim_thompson5910(28715)

Question 600142: How do you work out a problem in the form of 3 log base 5 n-2 log base 5 5n = log5 7?
Click here to see answer by lwsshak3(6755)

Question 600452: Express 2log x-3log y+2log xy as a single logarithm
Click here to see answer by lynnlo(4169)

Question 600465: Log base 7(2x-4)= log base 7(1-3x)
Click here to see answer by lynnlo(4169)

Question 600463: 8^x-3=1/16
Click here to see answer by lynnlo(4169)

Question 600474: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). log_(8)/(80/)

Click here to see answer by stanbon(57966)

Question 600561: Solve the problem. Use the formula N = Iekt, where N is the population at time t, I is the initial population, and k is a growth constant equal to the percent of growth (expressed in decimal form) per unit of time. How long will it take for the population of a certain country to double if its annual growth rate is 7.7%? Round your answer to the nearest year.
Click here to see answer by jim_thompson5910(28715)

Question 600575: The half-life of 234U, uranium-234, is 2.52 105 yr. If 98.9% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

Click here to see answer by ankor@dixie-net.com(15746)

Question 600791: solve for x.log6 (log4 (log2)) =0
Click here to see answer by solver91311(17077)

Question 600847: how do you work out and what is the answer to the problem 9^x=1/81
Click here to see answer by nerdybill(7003)

Question 600806: write 5 ln x-1/2 ln y + 6ln z as a single logarithm
Click here to see answer by lwsshak3(6755)

Question 601103: hi. can you help me with this? prove that log x + log(x^2 + 2) = log(x^3 +2x)is true
Click here to see answer by solver91311(17077)

Question 601103: hi. can you help me with this? prove that log x + log(x^2 + 2) = log(x^3 +2x)is true
Click here to see answer by richard1234(5390)

Question 601272: Log5^22*Log22^125
Click here to see answer by jim_thompson5910(28715)

Question 601339: write as single logarithm ln (x-5)+ ln x
Click here to see answer by neatmath(300)

Question 601410: use the properties of logarithmic to write the expression 3 log(x+8)-2 log (x-5) as a single logarithm
Click here to see answer by nerdybill(7003)

Question 601424: Convert to logarithmic equations 5^x=80
Click here to see answer by nerdybill(7003)

Question 601462: f(x)=log(base 5)x;
Solve and find
A) x=1
B) x=125

A) f(1)= log(base 5)(1)
= 5log(base5)(1)
= 1
B) f(125)= log(base 5)(125)
= 5^x=125
= log5^x= log125
= xlog5=log125
= xlog5/log5= log125/log5
= 3
Were these two problems done correctly?
Click here to see answer by stanbon(57966)

Question 601547: Express irrational solutions in exact form as a decimal rounded to three decimal places
log2x+log6x=3
Click here to see answer by stanbon(57966)

Question 601569: log8(x^2-30)=log8(x)
Click here to see answer by nerdybill(7003)

Question 601586: To prove:
# log(1+2+3)=log1=log2+log3

Click here to see answer by jim_thompson5910(28715)

Question 601556: Express irrational solutions in exact form as a decimal rounded to three decimal places

log2(3x+2)-log4x=3 (((log base 2 of (3x+2) - log base 4 of x =3)))
Click here to see answer by lwsshak3(6755)

Question 601555: Express irrational solutions in exact form as a decimal rounded to three decimal places
log2x+log6x=3 ((( log base 2 of x plus log base 6 of x=3)))
Click here to see answer by lwsshak3(6755)

Question 601608: Please show me the steps and help me to solve x=ln 5.3/ln10
I know the answer is x = 0.72; however I'm not sure how to evaluate this on the calculator by using ln.
Click here to see answer by stanbon(57966)

Question 601721: Given log base b 6 = 1.3695 and log base b 7= 1.4873, evaluate log base b 6b
I tried to do this problem, here is how I did it...
log base b (1.3695)b
=0.13695
Click here to see answer by Alan3354(31518)

Question 601892: Ok the problem I need help is as follows:
log base 3 (x-8) + log base 3 (x-3) -log base 3 (x)
So far I have tried (x-3)(x-8) = x^2-11x+24=1^3
x^2-11x+25=100 right?
x(x^2-11x+25)=100
x^3-11x^2+25x=100
I know the answer is 12. I just don't know how to work this out.
Click here to see answer by josmiceli(9817)

Question 601904: Condense the expression to the logarithm of a single quantity.
7 log4 x + 5 log4 y − 7 log4 z
Click here to see answer by josmiceli(9817)

Question 601986: Use the properties of logarithms to expand the logarithmic expression.
log (√(x)/10y^3)
log (√(x)/10y^3)= (type an exact answer in simplified form)

Click here to see answer by Alan3354(31518)

Question 602306: Find the domain of the function f(x) = ln(3x + 36).
Click here to see answer by nerdybill(7003)

Question 602318: Write as a single logarithm and simplify (DO NOT find decimal approximations):
2 log 7 + log x - log 14.

Click here to see answer by scott8148(6628)

Question 602324: Expand and simplify (DO NOT find approximations): ln(x*e^4).
Click here to see answer by scott8148(6628)

Question 602329: Solve for x: log 2 + log (x - 43) = 2.
Click here to see answer by lawdej(58)

Question 602348: R=(10)log(I/Io), where R=90. Compare I to Io.
Click here to see answer by stanbon(57966)

Question 602341: how to solve log4(sqrt z/64)
Click here to see answer by stanbon(57966)

Question 602473: Find the values given that log base a 16=2.846 and log base a 3=0.573:
log base a 144a
Please help me I do not understand how to find the value. Thank you!
Click here to see answer by jim_thompson5910(28715)

Question 602500: I need help understanding a few problems. Evaluate: log6 216 & Evaluate: log2 512 Thank you for your help greatly appreciated!
Click here to see answer by jim_thompson5910(28715)

Question 602835: rewrite the given logarithms in terms of logarithms of x,y,z.
problem is log(4y^(3)/z^(2))
Click here to see answer by stanbon(57966)

Question 602838: rewrite the given logarithms in terms of logarithms of x,y,z
problem is: ln sqrt(xy^5)
Click here to see answer by Alan3354(31518)

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