Question
Solve the equation log2(2x−2)=2 .(1 point) x=
Answers
GPT-4o mini
To solve the equation \( \log_2(2x - 2) = 2 \), we can start by rewriting the logarithmic equation in exponential form.
The equation \( \log_2(2x - 2) = 2 \) can be rewritten as:
\[
2x - 2 = 2^2
\]
\[
2x - 2 = 4
\]
Next, we can solve for \( x \):
\[
2x = 4 + 2
\]
\[
2x = 6
\]
\[
x = \frac{6}{2} = 3
\]
Thus, the solution to the equation is:
\[
\boxed{3}
\]
The equation \( \log_2(2x - 2) = 2 \) can be rewritten as:
\[
2x - 2 = 2^2
\]
\[
2x - 2 = 4
\]
Next, we can solve for \( x \):
\[
2x = 4 + 2
\]
\[
2x = 6
\]
\[
x = \frac{6}{2} = 3
\]
Thus, the solution to the equation is:
\[
\boxed{3}
\]