Question

E^In(8) use the properties of natural logarithms to simplify the expression

Answer 1

8

Explanation:

One of the properties of natural logs is that

`e^(lnx) = x\\\\So,\\\\e^(ln8) = 8`

Answer 2

`\text{Let,}\\\\~~~~~~~~~y = e^(\ln 8)\\\\\implies \ln y = \ln \left( e^(\ln 8) \right)\\\\\implies \ln y = \ln 8( \ln e)\\\\\implies \ln y = \ln 8\\\\\implies y = 8\\\\\implies e^(\ln 8) = 8\\\\\text{Hence,}~~ e^(\ln 8 ) = 8`