decide the exact value for log a^2+log b^2 if a*b=10^5
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I think loga^2 + logb^2 is log(ab)^2 which is 2log(ab)
which is 10 to what power equals 10000 * 2.
hope that helps.
the value would be 10
Yeah thats what I got.
thanks got it now
Originally Posted by nowayn decide the exact value for log a^2+log b^2 if a*b=10^5
given that a*b=10^5 by applying log with base 10 on both sides log (ab) = 5
log a^2+log b^2 =log (ab)^2 = 2 log (ab) = 2*5 =10
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