Respuesta :

gmany

Answer:

x = 6

Step-by-step explanation:

[tex]\text{Use}\\\\\ln x^n=n\ln x\\--------------\\\\3\ln x=\ln216\\\\\ln x^3=\ln216\to x^3=216\to x=\sqrt[3]{216}\\\\x=6\ \text{because}\ 6^3=216[/tex]

Answer:

x = 6

Step-by-step explanation:

Using the laws of logarithms

• log[tex]x^{n}[/tex] ⇔ n log x

• log x = log y ⇔ x = y

given

3 ln x = ln 216

ln [tex]x^{3}[/tex] = ln 216

x³ = 216 ( take the cube root of both sides )

x = 6