SOLUTION: solve for x x= 6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64) I am not sure how to find X, I would appreciate if someone can help me.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve for x x= 6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64) I am not sure how to find X, I would appreciate if someone can help me.       Log On


   

Question 998682: solve for x
x= 6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64)
I am not sure how to find X, I would appreciate if someone can help me. I will provide my step.
x=6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64)
=6/8 (log(base6) sqrt(108)/ (2/sqrt3) + log(base 6) 9^2 + log(base6) 64)
=6/8 (log(base6) sqrt(108) / (2/sqrt3) + log(base 6) (81)(64)
=6/8 (log(base6) 9 + log(base6) 5184)

=6/8 (log(base6) (9)(5184)
=6/8 (log(base6) 46656)
= log(base6) 34992

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= log(base6) 34992

6^x = 34 992 ⇒ x = 5.839