Question

Solve
3^(4x+1) - 2*3^(2x+2) = 81

Answer 1

${3}^{4x + 1} - (2 \times 3)^{2x + 2} = 81 \\ \\ \\ {3}^{4x + 1} - ({2}^{2x + 2} \times {3}^{2x + 2} ) = 81$

Answer 2

• Given:- 3^(4x+1) - 2*3^(2x+2) = 81

• To find:- The value of X

• Solution:-

3^(4x+1) - 2*3^(2x+2) = 81 

or,3^4x*3-2*3^2x*3^2=81

or,3^2x(3^2*3-2*3^2)=81

or,3^2x(9)=3^4

or,3^2x=3^4/3^2

or,3^2x=3^2

or,2x=2

or,x=1

So the final answer X= 1