Question

solve for x:- 3 power 4x+2 =243 power x-4


Please don't write the wrong answer if you don't know then Don't answer please or I will report ​

Answer 1

Answer:

x = 22

Step-by-step explanation:

= $3^{4x + 2} = 243^{x - 4}$

= $3^{4x + 2} = [3^{5}] ^{x - 4}$

= $3^{4x + 2} = 3^{5x - 20}$ ($[a^{b}] ^{c} = a^{bc}$)

Equating powers,

4x + 2 = 5x - 20

5x - 4x = 2 + 20

x = 22