Can you help me find the missing number I have an exam tomorrow and I really need to know the answer

(2/3)^ =16/81

Find the answer for ^

Respuesta :

Hello,

[tex]( \frac{2}{3} ) {}^{n} = \frac{16}{81} [/tex]

[tex]nln( \frac{2}{3} ) = ln(\frac{16}{81})[/tex]

[tex]n = \frac{ln( \frac{16}{81} )}{ln( \frac{2}{3} )} = 4 [/tex]

Answer : 4

Answer:

^ is 4

Step-by-step explanation:

as you can see, [tex]\frac{16}{81}=\frac{2^4}{3^4}=(\frac{2}{3})^4[/tex]