Question

Which exponential equation is equivalent to the logarithmic equation below? log 300 =a

Answer 1

log 300 = a
Can be written an an exponential equation 10^a = 300

Answer 2

The exponential equation which is equivalent to the logarithmic equation

log 300=a is
`e^a=300`

Explanation:

We are given a logarithmic equation:

log 300 =a

we have to convert this to exponential equation

Taking exponential on both sides of the equation, we get

`e^(log 300) =e^a\\\\300=e^a`

(since
`e^(logx)=x`)

The exponential equation which is equivalent to the logarithmic equation

log 300=a is
`e^a=300`