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grigory [225]
4 years ago
12

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

Mathematics
1 answer:
guapka [62]4 years ago
3 0

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

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