How to solve this Log eqation

Solve for x over the real numbers:
6^(x+8) = 12

Take the logarithm base 6 of both sides:
x+8 = (log(12))/(log(6))

Subtract 8 from both sides:
Answer: |  x = (log(12))/(log(6))-8

6^(x+8)=12      take the log of both sides

log 6^(x + 8)  = log 12       and by a  log property we can write

(x + 8) log 6   = log 12       divide both sides by log 6

(x + 8)    = [ log 12 / log 6]       subtract 8 from each side

x  = [ log12 / log 6 ]  -   8    =  about    -6.613