Algebra Examples

$f (x) = - 8 {(2)}^{3 x} + 3$

Step 1

Multiply $- 8 \cdot 2^{3 x}$ .

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Step 1.1

Factor out negative.

$f (x) = - (8 \cdot 2^{3 x}) + 3$

Step 1.2

Rewrite $8$ as $2^{3}$ .

$f (x) = - (2^{3} \cdot 2^{3 x}) + 3$

Step 1.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (x) = - 2^{3 + 3 x} + 3$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = - 2^{3 + 3 x} + 3 - f (x)$

Step 3

Rewrite the equation as $- 2^{3 + 3 x} + 3 - f (x) = 0$ .

$- 2^{3 + 3 x} + 3 - f (x) = 0$