Question

Write the following in logarithmic form.(i) 11² = 121 (ii) (0.1)² = 0.01 (iii) aˣ = b

Answer 1

heya here is ur answer...


1 ) 11^2 = 121

so the base should be in base only in log and the power should be in right-hand side


so it's log 121 base 11 = 2


2) (0.1)^2 = 0.01


log 0.01 base 0.1 = 2

3) a^x = b

log b base a = x


Hope this helps you

if any queries u may ask


Thank u..

Answer 2

Solution :

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We know that ,

If aⁿ = x => log x( base a ) = n

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i ) 11² = 121

=> log 121 ( base 11 ) = 2

ii ) ( 0.1 )² = 0.01

=> log ( 0.01 ) ( base 0.1 ) = 2

iii ) a^x = b

=> log b ( base a ) = x

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