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Question

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

x=5
x equals 5

x=2
x equals 2

x=3
x equals 3

x=4

Answer 1

To solve the exponential equation \( 5^x = 625 \), we can rewrite 625 in terms of base 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:

\[ x = 4 \]

Thus, the solution is:

x = 4