Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the
solution.
-$$2 ^ { 8 x } = 4$$
A) $\{ 0.25 \}$
B) $\{ 0.33 \}$
C) $\{ 12.00 \}$
D) $\{ 16.00 \}$

Question

Quizplus · Accepted Answer

Since $4 = 2^2$, we can rewrite the equation as $2^{8x} = 2^2$. Setting the exponents equal to each other gives $8x = 2$, solving for $x$ gives $x = \frac{2}{8} = 0.25$.

Solve the Exponential Equation 28x=42 ^ { 8 x } = 428x=4

Solve the Exponential Equation $2 ^ { 8 x } = 4$