Precalculus Examples

$2 \log (x - 2) = 2 x - 7$

Step 1

Simplify $2 \log (x - 2)$ by moving $2$ inside the logarithm.

$\log ({(x - 2)}^{2}) = 2 x - 7$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 2.03421486, 3.74073188$

Step 3