Trigonometry Examples

$f (x) = \ln (x - 4)$ , $f (x) = \ln (x)$

Step 1

Substitute $\ln (x)$ for $f (x)$ .

$\ln (x) = \ln (x - 4)$

Step 2

Solve for $x$ .

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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