contestada

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

Respuesta :

calculista

Answer:

[tex]a < 0.287[/tex]

Step-by-step explanation:

we have

[tex]13^{4a} < 19[/tex]

Solve for a

Apply log both sides

[tex]log(13^{4a}) < log(19)[/tex]  

Remember the rule

㏒(a^n) = n ㏒(a)

so

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

Divide by 4 log(13) both sides

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

[tex]a < 0.2870[/tex]

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