Step-by-step Solution

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

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Step-by-step solution

Problem to solve:

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

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

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

Unlock this full step-by-step solution!

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log(2,1-1*x)=-2. Rewrite the number -2 as a logarithm of base 2. For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. We need to isolate the dependent variable x, we can do that by subtracting 1 from both sides of the equation. Divide both sides of the equation by -1.

Final Answer

$x=\frac{3}{4}$
$\log_{2}\left(\left(1-x\right)\right)=-2$

Main topic:

Logarithmic Equations

Time to solve it:

~ 0.03 s