Respuesta :

Answer:

x = 0.25

Step-by-step explanation:

Rewrite the equation as:

[tex]\frac{\sqrt[4]{5}}{125^{x/3}} = 1[/tex]

[tex]\sqrt[4]{5} = 125^{x/3}[/tex]

[tex](\sqrt[4]{5})^4 = (125^{x/3})^4[/tex]

[tex]5 = 125^{4x/3}[/tex]

[tex]ln5 = ln(125^{4x/3})[/tex]

[tex]ln5 = \frac{4x}{3}ln125[/tex]

[tex]x = \frac{3}{4}\frac{ln5}{ln125} = \frac{3}{4}\frac{1}{3} = \frac{1}{4} = 0.25[/tex]