Solve the exponential equation. Express the solution set in terms of natural logarithms.
-$$6 ^ { 8 x } = 2.2$$
A) $\left\{ \frac { 2.2 \ln 8 } { \ln 6 } \right\}$
B) $\left\{ \frac { \ln 2.2 } { 6 \ln 8 } \right\}$
C) $\left\{ \frac { 8 \ln 2.2 } { \ln 6 } \right\}$
D) $\left\{ \frac { \ln 2.2 } { 8 \ln 6 } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $6^{8x} = 2.2$, take the natural logarithm of both sides to get $8x \ln 6 = \ln 2.2$. Solving for $x$ gives $x = \frac{\ln 2.2}{8 \ln 6}$.

Solve the Exponential Equation 68x=2.26 ^ { 8 x } = 2.268x=2.2

Solve the Exponential Equation $6 ^ { 8 x } = 2.2$