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.
-$4 ^ { 6 x } = 4.8$
A) {0.19}
B) {6.79}
C) {0.22}
D) {6.20}

Question

Quizplus · Accepted Answer

To solve $4^{6x} = 4.8$, first take the logarithm of both sides. Using the natural logarithm, $\ln(4^{6x}) = \ln(4.8)$. Applying the logarithm power rule, $6x\ln(4) = \ln(4.8)$. Solving for $x$ gives $x = \frac{\ln(4.8)}{6\ln(4)}$. Using a calculator, this approximately equals 0.19.

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