Question

Sum of all the solution(s) of the equation log10(x) + log10(x + 2) – log10(5x + 4) = 0 is-
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Answer 1

log10(x)+log10(x+2)−log10(5x+4)=0

⇒log10[5x+4x(x+2)]=0

⇒(x2+2x)=(5x+4)

⇒x2−3x−4=0

⇒(x−4)(x+1)=0

⇒x=−1,4

Sum of solutions of x= −1+4=3