Solve for q. 10^q = 1,000 q = ____

Recognize Equation: Recognize the equation and what it asks. We have 10^q = 1,000. We need to find the value of q that makes this true.Express as Power: Express 1,000 as a power of 10. 1,000 can be written as 10^3 because 10 * 10 * 10 = 1,000.Set Exponents Equal: Set the exponents equal to each other since the bases are the same. From 10^q = 10^3, we can see that q must be 3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $q$ . $\newline$ $10^q = 1,000$ $\newline$ $q = \_\_\_$

View step-by-step help

Home

Math Problems

Grade 8

Solve equations with variable exponents

Full solution

Q. Solve for

q

\newline

10^q = 1,000

\newline

q = \_\_\_

Recognize Equation: Recognize the equation and what it asks. $\newline$ We have $10^q = 1,000$ . We need to find the value of $q$ that makes this true.
Express as Power: Express $1,000$ as a power of $10$ . $\newline$ $1,000$ can be written as $10^3$ because $10 \times 10 \times 10 = 1,000$ .
Set Exponents Equal: Set the exponents equal to each other since the bases are the same. $\newline$ From $10^q = 10^3$ , we can see that $q$ must be $3$ .