Solve log(3x−2)=2

Question

Responses
34
4/3
98/3
999/2

Answer 1

To solve the equation log(3x - 2) = 2, we need to exponentiate both sides using base 10. This means raising 10 to the power of each side of the equation:

10^(log(3x - 2)) = 10^2
3x - 2 = 100

Now, we can solve for x:

3x = 102
x = 102/3

Simplifying the fraction gives:

x = 34

Therefore, the solution to the equation log(3x - 2) = 2 is x = 34.