Question
Given the exponential equation 5
x
=625, solve for the value of x that makes the equation true.
A. x=4
B. x=2
C. x=5
D. x=3
x
=625, solve for the value of x that makes the equation true.
A. x=4
B. x=2
C. x=5
D. x=3
Answers
GPT-4o mini
To solve the equation \( 5^x = 625 \), we first express \( 625 \) as a power of \( 5 \).
Since \( 5^4 = 625 \), we can rewrite the equation:
\[
5^x = 5^4
\]
Now that the bases are the same, we can set the exponents equal to each other:
\[
x = 4
\]
Thus, the value of \( x \) that makes the equation true is:
**A. x = 4**.
Since \( 5^4 = 625 \), we can rewrite the equation:
\[
5^x = 5^4
\]
Now that the bases are the same, we can set the exponents equal to each other:
\[
x = 4
\]
Thus, the value of \( x \) that makes the equation true is:
**A. x = 4**.