Math, asked by priyanshu3659, 1 year ago

If 81^x = 9/3^x , find the value of x

Answers

Answered by Nyctalus
8

Given ( 81) ^x = 9/ 3^x

let us write 81 as 3*3*3*3 = 3^4 and 9 = 3*3 = 3^2

so it is now : ( 3^4)^x = 3^2 / 3^x

3^4x = 3^(2-x)

as both sides have same base the exponent should also be same

4x = 2-x

adding x both sides 4x + x = 2

5x = 2

x= 2/5

Answer 2/5

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