Identify base and exponent: Identify the base and the exponent in the equation 8 = 2^x. In the equation, 2 is the base and x is the exponent. We need to find the value of x such that 2 raised to the power of x equals 8.Find powers of 2: Write down the powers of 2 that are close to 8 to find the correct exponent. 2^1 = 2 2^2 = 4 2^3 = 8 We see that 2 raised to the power of 3 equals 8.Compare with equation: Compare the result from Step 2 with the equation 8 = 2^x. Since 2^3 = 8 and our equation is 8 = 2^x, we can conclude that x must be 3.

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $x$ . $\newline$ $8 = 2^x$ $\newline$ $x =$ _____

View step-by-step help

Home

Math Problems

Grade 8

Understanding exponents

Full solution

Q. Solve for

x

\newline

8 = 2^x

\newline

x =

_____

Identify base and exponent: Identify the base and the exponent in the equation $8 = 2^x$ . $\newline$ In the equation, $2$ is the base and $x$ is the exponent. $\newline$ We need to find the value of $x$ such that $2$ raised to the power of $x$ equals $8$ .
Find powers of $2$ : Write down the powers of $2$ that are close to $8$ to find the correct exponent. $\newline$ $2^1 = 2$ $\newline$ $2^2 = 4$ $\newline$ $2^3 = 8$ $\newline$ We see that $2$ raised to the power of $3$ equals $8$ .
Compare with equation: Compare the result from Step $2$ with the equation $8 = 2^x$ . $\newline$ Since $2^3 = 8$ and our equation is $8 = 2^x$ , we can conclude that $x$ must be $3$ .