# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\log_{2}\left(\left(x^2-5x-4\right)\right)=1$

Learn how to solve logarithmic equations problems step by step online.

$\log_{2}\left(x^2-5x-4\right)=\log_{2}\left(2\right)$

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log(2)=1. Rewrite the number 1 as a logarithm of base 2. The logarithms are the same when their arguments are equal. Moving the term -4 to the other side of the equation with opposite sign. Rewrite the equation.

$x=6,\:x=-1$

### Problem Analysis

$\log_{2}\left(\left(x^2-5x-4\right)\right)=1$

### Main topic:

Logarithmic equations

~ 0.04 seconds