Step-by-step Solution

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

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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.

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

Unlock this full step-by-step solution!

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.

Final Answer

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

Main topic:

Logarithmic equations

Related formulas:

1. See formulas

Steps:

13

Time to solve it:

~ 0.33 s (SnapXam)