SOLUTION: Please help and show step by step and what x equals. Find the largest value of x that satisfies: log_6 (x^ 2 )−log_6 (x+5)=6 Thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help and show step by step and what x equals. Find the largest value of x that satisfies: log_6 (x^ 2 )−log_6 (x+5)=6 Thanks      Log On


   

Question 998635: Please help and show step by step and what x equals.
Find the largest value of x that satisfies:
log_6 (x^ 2 )−log_6 (x+5)=6
Thanks
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
As pure text for use on the site, log(6,(x^2))-log(6,(x+5))=6

log%286%2C%28x%5E2%29%29-log%286%2C%28x%2B5%29%29=6

log%286%2C%28%28x%5E2%29%2F%28x%2B5%29%29%29=6
Change to exponential form according to base of 6 and logarithm or exponent also 6.

6%5E6=x%5E2%2F%28x%2B5%29----------you should know what to do from here.
HINT HINT HINT --- QUADRATIC EQUATION FROM THIS!