Question

Logarithmic and Exponential Forms of Equations In Exercise,Write the logarithmic equation as an exponential equation,or vice versa.

e0.25 = 1.2840...

Answer 1

`0.25 = ln(1.284025417)`

Explanation:

For this case we have the following equation:

`e^(0.25) = 1.284025417`

We need to remember that the base for the natural log is the euler number
`e = 2.718281818` , and
`log_(e) = ln`

And we want to write this expression as a logarithmic equation so we ust need lo apply natural log on both sides and we got:

`ln e^(0.25) = ln(1.284025417)`

And since the natural log and the exponetiation are inverse operations w have the identity operator in the left part of the equation and we got:

`0.25 = ln(1.284025417)`