SOLUTION: Find the value of the expression. Do not use decimals. (1/3)log54+2log15+(1/3)log32-3log3 All the bases are 10

Algebra.Com
Question 563321: Find the value of the expression. Do not use decimals.
(1/3)log54+2log15+(1/3)log32-3log3
All the bases are 10

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(1/3)log54+2log15+(1/3)log32-3log3
------
log(2*27)^(1/3) + log(15^2) + log(8*4)^(1/3) - log(3^3)
------
= log(3*2^(1/3)) + log(225) + log(2*4^(1/3)) - log(27)
------
= log[3*2^(1/3)*225*2*4^(1/3)/27]
------
= log[1350*8^(1/3)/27]
------
= log[2700/27]
------
= log(100)
------
= 10
=====================
Cheers,
Stan H.
=====================

RELATED QUESTIONS

-1/3[-9+10(3)] I do not know the value of this... (answered by stanbon,mananth)
Use an identity to find the exact value of each expression: Note: You are not allowed to (answered by Edwin McCravy,ikleyn)
I am checking my answer to expand my expression: log3(3square root x /81) [NOTE:... (answered by stanbon)
Use an identity to find the exact value of the expression: Note: You are not allowed to (answered by Alan3354)
Express the following as logarithm 1. 2-2log5 2. Log18-2log2 3. 3/5... (answered by Alan3354)
If log(x³+3) - log(x+7) + log2 = logx,find the value of x where the bases are... (answered by Alan3354,math_helper)
Use the fact that the trigonometric functions are periodic to find the exact value of... (answered by Alan3354)
Given sin(alpha)=3/4 and 0 (answered by stanbon)
1)Evaluate the logarithms using the change of base formula. Round your result to three... (answered by stanbon)