Question

Solve for x. 2^3x-6×3^2x-3=216?​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{2^{3x-6}\;{\times}\;3^{2x-3}=216}$

$\underline{\textbf{To find:}}$

$\textsf{The value of x}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{2^{3x-6}\;{\times}\;3^{2x-3}=216}$

$\textsf{This can be written as}$

$\mathsf{2^{3x-6}\;{\times}\;3^{2x-3}=2^3\;{\times}\;3^3}$

$\textsf{Equating powers on bothsides, we get}$

$\mathsf{3x-6=3\;\implies\;3x=9\;\implies\;\boxed{x=3}}$

$\mathsf{2x-3=3\;\implies\;2x=6\;\implies\;\boxed{x=3}}$

$\therefore\underline{\textsf{The value of x is 3}}$

Answer 2

Step-by-step explanation:

https://publicapp.co.in/video/sp_hezck10iqi65r?share=true