Question

Which logarithmic equation is equivalent to the exponential equation below? 70.81 = ea

Answer 1

loge 70.81 = a
Log to the base e is also written as ln
ln 70.81 = a

Answer 2

`ln 70.81 =a`

Explanation:

Given is an equation in variable a as

`70.81=e^a`

Since log and exponential are inverses of each other we can convert the given exponential equation into log equation

Taking log to base e on both the sides we get

`log_e 70.81 =a`

This is the equivalent logrithmic equation

This can also be written as
`ln 70.81 =a`