Question

2power2x+1=4power2x-1​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

2^2x+1=4^2x-1

Lets find the solution other than finding coefficients

Take log on both sides

log (2^2x+1)=log(4^2x-1)

(2x+1)log2=(2x-1)log4

(2x+1)/2x-1 =log4/log2 [logm^n=nlogm]

(2x+1)/2x-1 =log2^2/log2

(2x+1)/2x-1=2log2/log2

(2x+1)/2x-1=2

2x+1=4x-2

2x+1-4x+2=0

-2x+3=0

x=3/2