You can put this solution on YOUR website! As long as the entire expression, -x+2, was the exponent of 16, then you have started correctly. To finish solving for x we...
Add -2 to each side:
and multiply both sides by -1:
In many cases we would stop here if we wanted an exact answer. But since both 16 and 8 are powers of 2, we can simplify the logarithm. If you're clever you might be able to figure out what power of 16 results in 8. If not then we can use the base conversion formula, , to convert the base 16 log into an expression of base 2 logs:
Since and , the numerator is 3 and the denominator is 4. (This means ):
All we have left is to subtract:
(