Question

Given the exponential equation 5x^=625
, solve for the value of x that makes the equation true.(1 point)
Responses

x=4
x is equal to 4

x=3
x equals 3

x=5
x equals 5

x=2

Answer 1

To solve the equation \( 5^x = 625 \), we first express 625 as a power of 5.

We know that:

\[
625 = 5^4
\]

So we can rewrite the equation as:

\[
5^x = 5^4
\]

Since the bases are the same, we can set the exponents equal to each other:

\[
x = 4
\]

Therefore, the value of \( x \) that makes the equation true is:

**x = 4** (or "x is equal to 4").