Provide an appropriate response.
-Solve $\ln ( 7 x + 1 ) = 1.56$ accurate to four decimal places.
A) $0.2501$
B) $0.5370$
C) $1.0833$
D) $0.8227$

Question

Quizplus · Accepted Answer

To solve the equation $\ln(7x + 1) = 1.56$, first exponentiate both sides to get rid of the natural logarithm: $e^{\ln(7x + 1)} = e^{1.56}$. This simplifies to $7x + 1 = e^{1.56}$. Solving for $x$ gives $x = \frac{e^{1.56} - 1}{7}$. Using a calculator, this gives $x \approx 0.5370$.

Provide an Appropriate Response ln⁡(7x+1)=1.56\ln ( 7 x + 1 ) = 1.56ln(7x+1)=1.56

Provide an Appropriate Response $\ln ( 7 x + 1 ) = 1.56$