Solve for b. 2^b = 8 b = ____

Recognize equation and goal: Step 1: Recognize the equation and the goal. We need to find b in the equation 2^b = 8.Identify power of 2: Step 2: Identify a power of 2 that equals 8. We know that 2^3 = 8.Set b equal to exponent: Step 3: Set b equal to the exponent found. Since 2^3 = 8, b must be 3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $b$ . $\newline$ $2^b = 8$ $\newline$ $b = \_\_\_$

View step-by-step help

Home

Math Problems

Grade 8

Solve equations with variable exponents

Full solution

Q. Solve for

b

\newline

2^b = 8

\newline

b = \_\_\_

Recognize equation and goal: Step $1$ : Recognize the equation and the goal. $\newline$ We need to find $b$ in the equation $2^b = 8$ .
Identify power of $2$ : Step $2$ : Identify a power of $2$ that equals $8$ . We know that $2^3 = 8$ .
Set $b$ equal to exponent: Step $3$ : Set $b$ equal to the exponent found. $\newline$ Since $2^3 = 8$ , $b$ must be $3$ .