Solve for w. 10^w = 10,000 w = ____

Recognize Equation Format: Recognize the equation format and the goal. We need to find w such that 10 raised to the power of w equals 10,000.Express as Power of 10: Express 10,000 as a power of 10. 10,000 can be written as 10^4 because 10 * 10 * 10 * 10 = 10,000.Set Exponents Equal: Set the exponents equal to each other since the bases (10) are the same. 10^w = 10^4 So, w = 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $w$ . $\newline$ $10^w = 10,000$ $\newline$ w = ____

View step-by-step help

Home

Math Problems

Grade 8

Solve equations with variable exponents

Full solution

Q. Solve for

w

\newline

10^w = 10,000

\newline

w = ____

Recognize Equation Format: Recognize the equation format and the goal. $\newline$ We need to find $w$ such that $10^{w} = 10,000$ .
Express as Power of $10$ : Express $10,000$ as a power of $10$ . $\newline$ $10,000$ can be written as $10^4$ because $10 \times 10 \times 10 \times 10 = 10,000$ .
Set Exponents Equal: Set the exponents equal to each other since the bases ( $10$ ) are the same. $\newline$ $10^w = 10^4$ $\newline$ So, $w = 4$ .