Question

Which exponential equation is equivalent to the logarithmic equation below?

log 300 = a
A. 3000 = 10
B. a10 = 300
C. 100 = 300
D. 30010 = a

Answer 1

`\implies\boxed{ 10^a = 300 }`

Explanation:

We are provided logarithmic equation , which is ,

`\implies log_(10)^(300)= a`

• Here we took the base as 10 , since nothing is mentioned about that in Question .

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{ 10^a = 300 }`