Which equation is equivalent to log Subscript x Baseline 36 = 2?

Question

asked Jan 21, 2021 71.8k views

2 Answers

Mark Krenek · Answer 1 · 2021-01-26T23:53:18+0000

Answer:

x = 6

Explanation:

The equation to solve is:

log_(x)36 = 2

We can convert it to exponential form and find the answer. Below we show log to exponential form formula:

$log_(x)a=b\\x^b=a$

Now, we convert the log to exponential:

$log_(x)36 = 2\\x^2=36$

We now solve for "x",

$x^2=36\\x=+-√(36)\\x=6,-6$

We know the base number of log cannot be negative, so we disregard x = -6 and take x = 6 as our answer