Question

How do you solve `3.1^(a-3)=9.42`?

Answer 1

`a=4.9824`

Explanation:

As `3.1^(a-3)=9.42`, taking logarithm of both sides to base `10`, we get

`(a-3)xxlog3.1=log9.42` and

`(a-3)=log9.42/log3.1=0.97405/0.49136=1.9824`

and `a=1.9824+3=4.9824`