Solve the equation for x. Give an exact solution.
-$$\ln ( 7 x + 5 ) = - 0.1$$
A) $\left\{ \frac { e ^ { - 0.1 } - 5 } { 7 } \right\}$
B) $\left\{ \frac { e ^ { - 0.1 } + 7 } { 5 } \right\}$
C) $\left\{ e ^ { - 0.1 } - 5 \right\}$
D) $\left\{ 7 \left( e ^ { - 0.1 } - 5 \right) \right\}$

Question

Quizplus · Accepted Answer

To solve for $x$, we first exponentiate both sides to get rid of the natural logarithm, resulting in $7x + 5 = e^{-0.1}$. Then, solving for $x$ gives $x = \frac{e^{-0.1} - 5}{7}$, which matches choice A.

Solve the Equation for X ln⁡(7x+5)=−0.1\ln ( 7 x + 5 ) = - 0.1ln(7x+5)=−0.1

Solve the Equation for X $\ln ( 7 x + 5 ) = - 0.1$