SOLUTION: 1/2 (log7 x + log7 8) = log7 16

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1/2 (log7 x + log7 8) = log7 16      Log On


   



Question 769467: 1/2 (log7 x + log7 8) = log7 16
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
1/2 (log7 x + log7 8) = log7 16
log%287%2Csqrt%288x%29%29-log%287%2C16%29=0

log%287%2Csqrt%288x%29%2F16%29=0

raising 7 to both sides yields:
7%5Elog%287%2Csqrt%288x%29%2F16%29=7%5E0
i.e.
sqrt%288x%29%2F16=1

so that
x=32

:)