December 2020

Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.

Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.

Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.

Solve for x if $ln (x + 1) = 0$.

Solve for x if $e^{2x - 1} = 5$.

Solve for x if $e^{\ln (2x - 1)} = 5$.

Solve for x if $\ln x = 2 + \ln (1 - x)$.

Solve for x if $e^{\ln (1 - x)} = 2x$.

Without the use of calculator, solve for y if $\ln y = \frac{1}{2}\ln 4 + \frac{2}{3} \ln 8$.

Solve for x if $\ln e^{\sqrt{x + 1}} = 3$.