Precalculus Examples

$\log (2 x + 1) = \log (x + 6)$

Step 1

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

$2 x + 1 = x + 6$

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.

$2 x + 1 - x = 6$

Step 2.1.2

Subtract $x$ from $2 x$ .

$x + 1 = 6$

Step 2.2

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

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Step 2.2.1

Subtract $1$ from both sides of the equation.

$x = 6 - 1$

Step 2.2.2

Subtract $1$ from $6$ .

$x = 5$