Question

If the geometric mean of two +ve numbers a and b is 100, then the arithmetric mean of loga and logb is...?

I think the answer is 2, am i correct?
@shubhamsrg

Answer 1

well assuming base of your log is 10, yes 2 seesm right

Answer 2

seems*

Answer 3

thx

Answer 4

geometric mean of two numbers a and b = 100 means
\[ \sqrt{a b} = 100 \\ ab= 10^4\]
take the log base 10 of both sides:
\[ \log(ab) = log(10^4) \\ log(a)+log(b)= 4 \]
the mean of log(a)+log(b) is ( log(a)+log(b))/2 = 4/2 = 2