Question

What is the value of eln7x?

Answer 1

7x

Explanation:

We are given a logarithmic expression and we have to simplify it.

The expression is
`e^(\ln 7x)`

Now, let us assume that
`A = e^(\ln 7x)`

Taking ln on both sides we get,

`\ln A = \ln e^(\ln 7x)`

⇒
`\ln A = \ln 7x \ln e`

{Since, we know the logarithmic property
`\ln a^(b) = b \ln a`}

⇒
`\ln A = \ln 7x`

{ Since, we know,
`\ln e = 1`}

⇒ A = 7x (Answer)

{Cancelling ln on both sides}