If x is equal to log 10 base 5 then X + 1 by X + 2 is equal to

Answer 1

(x+1)(x+2)
= x^2 + 3x + 2

but x = log ₅ 10
x+1 = log ₅ 10 + log ₅ 5
= log ₅ 50

x+2 = log ₅ 10 + 2log ₅ 5
= log ₅ 10 + log ₅ 25
= log ₅ 250

(x+1)(x+2) = (log ₅ 50)(log ₅ 250)
= appr 8.338865