Which of the following is the inverse of y=6^x? y=log_(6)x, y=log_(x)6, y=log_((1)/(6))x, y=log_(6)6x

Answer:y=log_(6)xStep-by-step explanation:From the definition of logarithm:[tex]x = log_b y[/tex] <---> [tex]y=b^x[/tex]In our case, we have [tex]y=6^x[/tex]which means that b=6, therefore the inverse function is[tex]x=log_6 y[/tex]which can be rewritten by switching x and y:[tex]y=log_6 x[/tex]