SOLUTION: Find the unknown in the equation using steps please:) log6 7 = log6(6^x+1 plus 6^x+2) Please note the 6 in the "log6 7" is small

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the unknown in the equation using steps please:) log6 7 = log6(6^x+1 plus 6^x+2) Please note the 6 in the "log6 7" is small      Log On


   

Question 133339: Find the unknown in the equation using steps please:)
log6 7 = log6(6^x+1 plus 6^x+2)
Please note the 6 in the "log6 7" is small
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2C7%29+=+log%286%2C%286%5E%28x%2B1%29+%2B+6%5E%28x%2B2%29%29%29
7+=+6%5E%28x%2B1%29+%2B+6%5E%28x%2B2%29
7+=+6%5Ex+%2A+6%5E1+%2B+6%5Ex+%2A+6%5E2
7+=+6%5Ex%2A%286+%2B+36%29
6%5Ex+=+7%2F42
6%5Ex+=+1%2F6
6%5Ex+=+6%5E%28-1%29
x+=+-1 answer
check:
log%286%2C7%29+=+log%286%2C%286%5E%28x%2B1%29+%2B+6%5E%28x%2B2%29%29%29
log%286%2C7%29+=+log%286%2C%286%5E%28-1%2B1%29+%2B+6%5E%28-1%2B2%29%29%29
log%286%2C7%29+=+log%286%2C%286%5E0+%2B+6%5E1%29%29
log%286%2C7%29+=+log%286%2C7%29
OK