Question

find x if 9 into 3 power X equal to 27 power 2 x minus 3​

Answer 1

hope it helps u out

Answer 2

Given : $9\times 3^x=27^{2x+3}$

To find : the value of x = ?

Solution :

As we have given that

$9\times 3^x=27^{2x+3}\\\\3^2\times 3^x=27^{2x+3}\\\\3^{x+2}=3^{3(2x+3)}\\\\x+2=3(2x+3)\\\\x+2=6x+9\\\\2-9=6x-x\\\\-7=5x\\\\x=\dfrac{-7}{5}$

Hence, the value of x is $\dfrac{-7}{5}$