Asked by Anonymous

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

Answers

Answered by Reiny
(x+1)(x+2)
= x^2 + 3x + 2

but x = log<sub> 5 </sub>10
x+1 = log<sub> 5 </sub>10 + log<sub> 5 </sub>5
= log<sub> 5 </sub>50

x+2 = log<sub> 5 </sub>10 + 2log<sub> 5 </sub>5
= log<sub> 5 </sub>10 + log<sub> 5 </sub>25
= log<sub> 5 </sub>250

(x+1)(x+2) = (log<sub> 5 </sub> 50)(log<sub> 5 </sub> 250)
= appr 8.338865
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