Finite Math Examples

$27^{3 x} = 96 x + 2$

Step 1

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

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Step 1.1

Subtract $96 x$ from both sides of the equation.

$27^{3 x} - 96 x = 2$

Step 1.2

Subtract $2$ from both sides of the equation.

$27^{3 x} - 96 x - 2 = 0$

Step 2

Reorder terms.

$- 96 x + 27^{3 x} - 2 = 0$

Step 3

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

$x \approx - 0.01153991, 0.36541893$

Step 4