## College Algebra (6th Edition)

$b^{x}$ is a power of b, with exponent x. so the formula can be read as " The logarithm of a power of the base is the exponent of that power" This stems from the definition (see p.456) The logarithm of $b^{x}$ with base b is a number y, $y=\log_{b}b^{x}$, such that $b^{y}=b^{x}.$ So, by the basic property of exponential functions, $y=x,$ $\log_{b}b^{x}=x$