Precalculus Examples

$\log_{2} (2 x - 3) = \log_{2} (x + 4)$

Step 1

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

$2 x - 3 = x + 4$

Step 2

Solve for $x$ .

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Step 2.1

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

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Step 2.1.1

Subtract $x$ from both sides of the equation.

$2 x - 3 - x = 4$

Step 2.1.2

Subtract $x$ from $2 x$ .

$x - 3 = 4$

Step 2.2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.2.1

Add $3$ to both sides of the equation.

$x = 4 + 3$

Step 2.2.2

Add $4$ and $3$ .

$x = 7$