Given the exponential equation 5x=625

Question

, 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=4
x is equal to 4

x=3

Answer 1

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

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

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 solution is \( x = 4 \).

So, the correct response is: x is equal to 4.