SOLUTION: What are all the values of {{{x}}} in which {{{log(2x,(48*root(3,3)))=log(3x, (162 * root(3,2)))}}}?

Algebra.Com
Question 1114566: What are all the values of in which ?
Answer by greenestamps(13334)   (Show Source): You can put this solution on YOUR website!


-->
-->

Then






Then solve either of the original expressions in exponential form to solve for x:






Answer: There is one value -- -- that satisfies the given equation.

RELATED QUESTIONS

For each of the following equations either prove that it is correct (by using the rules... (answered by venugopalramana)
if log a=2 and log b=3, what is the numerical value of log square root a / b^3... (answered by jsmallt9)
3^(log base 3 of x)^2+x^(log base 3 of x)... (answered by Alan3354)
if log x=6 and log y=3, what is the numerical value of log cube root of... (answered by tommyt3rd)
What is the log (base root 3) cube root... (answered by Alan3354)
My Prof. had a review for our final, but she wasn't able to complete all of the questions (answered by stanbon)
If log a^2 b^3 = x and log (a/b) = y, what are the values of log a and log... (answered by josmiceli)
Let a= log x, b = log y and c = log z Write log (x^2 root y/z^3) in terms of a, b and c (answered by jim_thompson5910)
Log( base 3) square root... (answered by ewatrrr)