On the valid solution after getting into the b^x=y form, it is best to use the log base that matches the base for the exponential. That way, you can solve the exponential equation with a single step canceling the log with the matching base as the exponential, leaving only whatever is in the exponential part. The power rule for logs is implicit whenever you use the appropriate base when applying logs at the start.
On the valid solution after getting into the b^x=y form, it is best to use the log base that matches the base for the exponential. That way, you can solve the exponential equation with a single step canceling the log with the matching base as the exponential, leaving only whatever is in the exponential part. The power rule for logs is implicit whenever you use the appropriate base when applying logs at the start.