Question

(logx/log2)+(log(x+2)/log4)=2
find the value of x

Answer 1

ans..x=2

steps: take LCM ,

(logx)(log4)+(log(x+2))(log2) wholedivided by /log2(log4)=2

log[(4x)(2x)(2)] =2log8

log16x power of2 =log8 power of2

cancelling 'log' on both sides, we get

16x power of 2= 8 power2

here 16xpower2 becomes (4x)whole power2 =8 power2

remove power2 on both sides , 4x=8

x=2.