Question

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

In 0.05 = -2.9957....

Answer 1

`e^(-2.9957)=0.05`

Explanation:

In 0.05 = -2.9957

we need to write the log equation in exponential form

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

`ln 0.05 = -2.9957`

`ln_e(0.05) = -2.9957`

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(0.05) = -2.9957`

`e^(-2.9957)=0.05`