Question

Solve the logarithmic equation by writing in exponential form or by graphing. Round to the nearest thousandth if necessary.

log(2x - 2) = 4
A) x ≈ 16.118
B) x ≈ 3.322
C) x ≈ 0.240
D) x ≈ 1.732

Answer 1

To solve the logarithmic equation log(2x - 2) = 4, we convert it to its exponential form to obtain 2x - 2 = 10^4. After solving for x, we find that it equals 5001, which does not correspond with the provided choices.

Step-by-step explanation:

The student's question involves solving a logarithmic equation by converting it to exponential form. The equation given is log(2x - 2) = 4. To solve this, we rewrite the logarithmic equation in its exponential form, which gives us 2x - 2 = 10^4.

We then proceed with the following steps:

1. Add 2 to both sides of the equation: 2x = 10002
2. Divide both sides by 2 to solve for x: x = 10002 / 2
3. Calculating the result, we get x = 5001, which does not match any of the provided choices, suggesting a potential error in the question or the available answers.