Question

The logarithmic form of a=N is
A) a = log base x N
B) x=log base a N
C) N=log base a X
D) N=log base x a​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The Logarithmic form of

$\sf{ {a}^{x} =N }$

A. $\sf{a = log_{x} N }$

B. $\sf{x = log_{a} N }$

C. $\sf{N = log_{a}x }$

D. $\sf{N = log_{x}a }$

EVALUATION

Here it is given that

$\sf{ {a}^{x} =N }$

Taking logarithm in both sides we get

$\sf{ log( {a}^{x} )= log N }$

$\sf{ \implies \: x log a = log N }$

$\displaystyle \sf{ \implies \: x = \frac{log N}{log a} }$

$\displaystyle \sf{ \implies \: x = log_{a}N }$

FINAL ANSWER

Hence the correct option is B. $\sf{x = log_{a} N }$

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