Question

The value of x in the given equation 4^x - 3^x-(1/2) - 22^x - 1 is

Answer 1

Using Power Rules and Simple maths

4x−3x−12=3x+12−22x−1

22x+22x−1=3x+12+3x−12

22x+22x2=3x3–√+3x3√

22x(1+12)=3x(3–√+13√)

22x(32)=3x(43√)

22x(33–√)=3x(8)

22x332=3x23

Comparing Power of 2 2x=3, Comparing Power of 3 x=32

Both Equations give us

x=32