which of the following is the inverse of y = 6^x?\no y = log_6 x\no y = log_x 6\no y = log_(1/6) x\no y =…

Explanation:

Step1: Recall inverse - function concept

The exponential function (y = a^{x}) and the logarithmic function (y=\log_{a}x) are inverse functions of each other. That is, if (y = a^{x}), then solving for (x) in terms of (y) gives (x=\log_{a}y).

Step2: Find the inverse of (y = 6^{x})

Given (y = 6^{x}), to find its inverse, we swap (x) and (y) and solve for (y). So we have (x = 6^{y}). By the definition of a logarithm, if (x = 6^{y}), then (y=\log_{6}x).

Answer:

A. (y=\log_{6}x)