Finite Math Examples

$\log_{3} (3^{x} - 8) = 2 - x$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $2$ from both sides of the equation.

$\log_{3} (3^{x} - 8) - 2 = - x$

Step 1.2

Add $x$ to both sides of the equation.

$\log_{3} (3^{x} - 8) - 2 + x = 0$

Step 2

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

$x = 2$

Step 3