Question

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

x=2
x equals 2

x=4
x is equal to 4

x=5
x equals 5

x=3

Answer 1

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

We know that:
\[
625 = 5^4
\]

Now we can rewrite the equation:
\[
5^x = 5^4
\]

Since the bases are the same, we can set the exponents equal to each other:
\[
x = 4
\]

So, the solution to the equation \( 5^x = 625 \) is:
\[
\boxed{x = 4}
\]