Question

como resuelvo?

1) ln x^2 - ln √x = 14/3

Answer 1

PREGUNTA

                       $\boldsymbol{ln(x^{2}) - ln(\sqrt{x}) = \dfrac{14}{3}}$

SOLUCIÓN

Hola!! :D

Solo despejaremos "x" con las propiedades que sabemos de logaritmo natural o neperiano

                                         $ln(x^{2}) - ln(\sqrt{x}) = \dfrac{14}{3}\\\\\\ln(\dfrac{x^2}{\sqrt{x}}) =\dfrac{14}{3}\\\\\\\dfrac{x^2}{\sqrt{x}} = e^{\frac{14}{3}}\\\\\\\dfrac{x^2}{x^{\frac{1}{2}}} = e^{\frac{14}{3}}\\\\\\x^{2-\frac{1}{2}} = e^{\frac{14}{3}}\\\\\\x^{\frac{3}{2}}= e^{\frac{14}{3}}\\\\\\x = (\sqrt[3]{e^{\frac{14}{3}}} )^{2}\\\\\\\boxed{\boldsymbol{\mathrm{x \approx 22.44}}}$