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Let N=10^log2-2\ "log"(log10^3)+log(log1...

Let `N=10^log2-2\ "log"(log10^3)+log(log10^6)^(2)\ )` where base of the logarithm is 10. The characteristic of the logarithm of `N` to the base 3, is equal to 2 (b) 3 (c) 4 (d) 5

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

`N=10^(p),P=log_(10)8-log_(10)9+2log_(10)6`
`thereforeN=10^(log_(10^(32)))=32`
Hence characterstic of `log_(3)32` is 3.
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