# What is the solution of log2 (3x – 7) = 3?

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## Question:

What is the solution of log2 (3x – 7) = 3?

The equation is a logarithm equation, and the solution to log₂(3x – 7) = 3 is x = 5

### How to determine the solution?

The equation is given as:

log₂(3x – 7) = 3

Remove the logarithm symbol

3x – 7 = 2^3

Evaluate the exponent

3x – 7 = 8

3x = 15

Divide both sides by 3

x = 5

Hence, the solution to log₂(3x – 7) = 3 is x = 5