Question

81^x+27^x=729+3^2x find the value of x

Answer 1

Step-by-step explanation:

81^x+27^x=729+3^2x

=>(3)^4×x+(3)^3×x=(3)^6+(3)^2x

=>(3)^4x+(3)^3x=(3)^6+(3)^2x

therefore,take all the powers together

4x+3x=6+2x

=>4x+3x-2x=6

=>7x-2x=6

=>5x=6

=>x=6/5 answer