Question

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

In 2 = 0.6931....

Answer 1

ln 2= 0.6931...

taking antilog

2 = e^(0.6931...)

Answer 2

`e^(0.6931)=2`

Explanation:

In 2 = 0.6931

we need to write the log equation in exponential form

all natural logs has base 'e'. ln or ln_e are same

`ln 2 = 0.6931`

`ln_e(2) =0.6931`

log equation can be written in exponential form

`ln_e(x)=a`

`e^a=x`

Apply the same to convert into exponential form

`ln_e(2) =0.6931`

`e^(0.6931)=2`