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Which of the following is equivalent to log base 9 27 ?

Which of the following is equivalent to log base 9 27 ?

User Sbharti
by
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2 Answers

6 votes

Answer:

the cube root of three

Explanation:

User Mariusz Schimke
by
8.0k points
5 votes
There is definitely a standard procedure for solving such problems. We already know a formula that

loga x = y
implies
a ^x = y
Now getting to the problem in hand, we can write it as
9^x = 27
(3^2)^x = (3)^3
(3)^2x = (3)^3
Then
2x = 3
x = 3/2
I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that has actually come to your desired help.
User Justin Hammenga
by
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