Question

find x. the options are given

Answer 1

no option is correct

Answer 2

option (C) X = 4

the value of log7(X) will be equal to zero , if X=1

here X is log5(√x2+x+5)

therefore
log5(√x2+x+5) = 1

and this value will be equal to 1 , only
√X2+X+5 = 5 (it should be equal to base)
squaring on b.s

X2+X+5 = 25
X2+X-20=0
X2+5X-4X-20=0

so , X= -5 or X= 4

from the options , X=4 is present. so it's d answer