Solve the eguation 273x qx1SolutionSolving the below equati

Solution

Solving the below equation:

27^3x = 9^x+1

Write 27 and 9 as powers of 3, we get:

(3³)^3x = (3²)^x+1

3^9x = 3^2x+2

Now since base is same which is 3, then we can equate the powers:

9x = 2x + 2

9x - 2x = 2

7x = 2

x = 2/7