Question

How do you write `ln 0.2 = x` in exponential form?

Answer 1

`color(green)(e^x = 0.2`

Explanation:

`ln0.2` is the Natural Logarithm of 0.2

Natural logarithm is the logarithm to the base e of a number.

Hence `ln 0.2 = x` can be written as `log_e0.2 = x`

And we know that `color(blue)(log_by = a` is equivalent to `color(blue)(b^a = y`

Hence `log_e0.2 = x` in exponential form can be written as `color(green)(e^x = 0.2` in Exponential Form