Question

Which logarithmic equation is equivalent to the exponential equation below?

67.21 = ea
A. In a = 67.21
B. loga 67.21 = 2.43
C. lo967.21 2.43 = e
O D. In 67.21 = a

Answer 1

`log_e^(67.21)= a`

Explanation:

The equation is ,

`\implies 67.21 = e^a`

• Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

`\implies a^m = n`

In logarithmic form it is ,

`\implies log_a^n = m`

Similarly our required answer will be ,

`\implies\boxed{ log_e^(67.21)= a }`