Algebra Examples

$\log_{2} (x) < \log_{2} (x + 4)$

Step 1

Convert the inequality to an equality.

$\log_{2} (x) = \log_{2} (x + 4)$

Step 2

Solve the equation.

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Step 2.1

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

$x = x + 4$

Step 2.2

Solve for $x$ .

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Step 2.2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.2.1.1

Subtract $x$ from both sides of the equation.

$x - x = 4$

Step 2.2.1.2

Subtract $x$ from $x$ .

$0 = 4$

Step 2.2.2

Since $0 \neq 4$ , there are no solutions.

No solution