Hello there!
Let me try this one out!
[tex]6 ^{x-6} = \frac{1}{1296} [/tex]
We can start by taking log of both sides
[tex]log(6 ^{x-6}) = log( \frac{1}{1296})[/tex]
[tex](x - 6)(log(6)) = log( \frac{1}{1296})[/tex]
Since we are solving for x:
[tex]x - 6 = \frac{log(1/1296)}{log(6)} [/tex]
I used a calculator to help me solve the right part :)
x - 6 = - 4
Now we can add 6 on both sides
x - 6 + 6 = - 4 + 6
x = 2
I hope this helps! Let me know if you have any questions about the answer.
