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

Answer:

$0.25 = ln(1.284025417)$

Step-by-step 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:

$0.25 = ln(1.284025417)$