Algebra Examples

$6 + \log_{2} (x) = 6$

Step 1

Move all terms not containing $\log_{2} (x)$ to the right side of the equation.

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Step 1.1

Subtract $6$ from both sides of the equation.

$\log_{2} (x) = 6 - 6$

Step 1.2

Subtract $6$ from $6$ .

$\log_{2} (x) = 0$

Step 2

Rewrite $\log_{2} (x) = 0$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$2^{0} = x$

Step 3

Solve for $x$ .

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Step 3.1

Rewrite the equation as $x = 2^{0}$ .

$x = 2^{0}$

Step 3.2

Anything raised to $0$ is $1$ .

$x = 1$