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 x is equal to 4
Answers
GPT-4o mini
To solve the equation \( 5^x = 625 \), we can express 625 as a power of 5.
Notice that:
\[
625 = 5^4
\]
Now the equation can be rewritten 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:
\[
x = 4
\]
Notice that:
\[
625 = 5^4
\]
Now the equation can be rewritten 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:
\[
x = 4
\]