# 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,x^2-5*x-4)=1. Rewrite the number 1 as a logarithm of base 2. We can simplify the equation by applying the following property for logarithms: Two logarithms in base b are the same when their arguments are equal, in other words: \log_b(M)=\log_b(N) if and only if M=N. Moving the term -4 to the other side of the equation with opposite sign. Rewrite the equation.

$x=6,\:x=-1$
$\log_{2}\left(\left(x^2-5x-4\right)\right)=1$

### Main topic:

Logarithmic equations

13

### Time to solve it:

~ 0.33 s (SnapXam)