Solve the equation. Find the exact solution. $ e^{3 x / 5}=7 $

A) $x = - \frac { 5 } { 3 } \ln 7$

B) $x = \frac { 7 } { 3 }$

C) $x = \frac { 7 } { 3 } \ln 5$

D) $x = 7 \ln ( 5 / 3 )$

E) $x = \frac { e } { 7 } \ln 3$

Question

Solve the equation. Find the exact solution. $ e^{3 x / 5}=7 $

A) $x = - \frac { 5 } { 3 } \ln 7$

B) $x = \frac { 7 } { 3 }$

C) $x = \frac { 7 } { 3 } \ln 5$

D) $x = 7 \ln ( 5 / 3 )$

E) $x = \frac { e } { 7 } \ln 3$

Quizplus · Accepted Answer

To solve the equation $e^{3x/5} = 7$, take the natural logarithm (ln) of both sides to get $3x/5 = \ln(7)$. Solving for $x$ gives $x = \frac{5}{3} \ln(7)$, which matches choice A.

Solve the Equation e3x/5=7 e^{3 x / 5}=7 e3x/5=7 A) x=−53ln⁡7x = - \frac { 5 } { 3 } \ln 7x=−35​ln7

Solve the Equation $e^{3 x / 5}=7$ A) $x = - \frac { 5 } { 3 } \ln 7$