Question

I need help with the second question please. Thank you.

Answer 1

x = 6

Explanation:

Using the laws of logarithms

• log
`x^(n)` ⇔ n log x

• log x = log y ⇔ x = y

given

3 ln x = ln 216

ln
`x^(3)` = ln 216

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

x = 6

Answer 2

x = 6

Explanation:

`\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`