54.2k views
11 votes
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 ^

2 Answers

3 votes

Answer:

^ is 4

Explanation:

as you can see,
(16)/(81)=(2^4)/(3^4)=((2)/(3))^4

User Biranchi
by
4.5k points
6 votes

Hello,


( (2)/(3) ) {}^(n) = (16)/(81)


nln( (2)/(3) ) = ln((16)/(81))


n = (ln( (16)/(81) ))/(ln( (2)/(3) )) = 4

Answer : 4

User Alfredo EM
by
4.4k points