Solve for s. 6^s = 36 s = ____

Identify base and number: Identify the base and the number 6^s needs to equal. 6 is the base, and it needs to be raised to a power s such that 6^s equals 36. Express 36 as power of 6: Recognize that 36 can be expressed as a power of 6. 36 is the same as 6^2. Set exponents equal: Set the exponents equal to each other since the bases are the same. Since 6^s = 6^2, then s must equal 2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $s$ . $\newline$ $6^s = 36$ $\newline$ $s =$ ____

View step-by-step help

Home

Math Problems

Grade 8

Solve equations with variable exponents

Full solution

Q. Solve for

s

\newline

6^s = 36

\newline

s =

____

Identify base and number: Identify the base and the number $6^s$ needs to equal. $\newline$ $6$ is the base, and it needs to be raised to a power $s$ such that $6^s = 36$ .
Express $36$ as power of $6$ : Recognize that $36$ can be expressed as a power of $6$ . $36$ is the same as $6^2$ .
Set exponents equal: Set the exponents equal to each other since the bases are the same. $\newline$ Since $6^s = 6^2$ , then $s$ must equal $2$ .