Question

Solve the given inequality. If necessary, round to four decimal places.

134a < 19
Question 4 options:

a < 0.287

a < 4.2641

a < 1.3863

a < 2.5649

Answer 1

`a < 0.287`

Explanation:

we have

`13^(4a) < 19`

Solve for a

Apply log both sides

`log(13^(4a)) < log(19)`

Remember the rule

㏒(a^n) = n ㏒(a)

so

`(4a)log(13) < log(19)`

Divide by 4 log(13) both sides

`a < log(19)/[4log(13)]`

`a < 0.2870`