Question

if 3x^-1=9×3^4 find the value of x . please help fast . ​

Answer 1

Answer:

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

Step-by-step explanation:

GIVEN:

$3^{x-1}=9×3^{4}$ (correct question)

TO FIND:

The value of x.

SOLUTION:

=>$3^{x-1}=9×3^{4}$

=>$3^{x-1}=3^{2}×3^{4}$

$\large\green{\boxed{a^{m} × a^{n}=a^{m+n}}}$

=>$3^{x-1}=3^{(2+4)}$

=>$3^{x-1}=3^{6}$

On comparing the powers since the bases are same we have,

= $x-1=6$

=>$x=1+6$

=>$x = 7$

$\huge\orange{\boxed{ANSWER: x = 7}}$