Choose the one alternative that best completes the statement or answers the question.
Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the
solution.
-$$\left( \frac { 1 } { 2 } \right) ^ { x } = 15$$
A) $\{ - 0.26 \}$
B) $\{ - 7.50 \}$
C) $\{ 3.91 \}$
D) $\{ - 3.91 \}$

Question

Quizplus · Accepted Answer

Taking the logarithm of both sides, we get $ x \log(0.5) = \log(15) $. Solving for $ x $, we find $ x = \frac{\log(15)}{\log(0.5)} \approx -3.91 $.

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