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Inter Conversion between Standard and Normal Forms

Given, log a ...

Question

Given, log a=b, express 10^2b-3 in terms of a

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Solution

log10a = b
10^b = a
10^2b-3 = 10^2b×10^-3
=10^2b/10^3
= (10^b)^2 / 1000
[ 10^b=a]
= a^2/1000

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