Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the
solution.
-$$\left( \frac { 1 } { 4 } \right) ^ { x } = 18$$
A) $\{ 2.08 \}$
B) $\{ - 4.50 \}$
C) $\{ - 2.08 \}$
D) $\{ - 0.48 \}$

Question

Quizplus · Accepted Answer

Taking the logarithm of both sides and solving for x gives $ x = \frac{\log(18)}{\log(1/4)} $, which approximates to -2.08.

Solve the Exponential Equation (14)x=18\left( \frac { 1 } { 4 } \right) ^ { x } = 18(41​)x=18

Solve the Exponential Equation $\left( \frac { 1 } { 4 } \right) ^ { x } = 18$