Question

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

Answer 1

Answer:

$a < 0.287$

Step-by-step 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

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

$a < 0.2870$