Given the exponential equation 5

Question

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

Answer 1

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.