Question

How do you solve `3^ { 7x } = 3.3`?

Answer 1

`x = 1/7log_3 3.3`

Explanation:

`3^(7x)=3.3`

Take log to the base 3 of both sides:

`log_3 3^(7x)=log_3 3.3`

Use the rules of logs:

`-> 7x log_3 3=log_3 3.3`
`-> 7x= log_3 3.3`
`therefore x = 1/7log_3 3.3`