Question

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=5
x equals 5

x=2
x equals 2

x=3

Answer 1

To solve the exponential 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:

\[ x = 4 \]

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

x=4