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In Mathematics / High School | 2014-04-30

If \(9^x = 27\), what is \(x\)?

Please include the method used to find the solution.

Asked by wimpydofa

Answer (3)

9 x = 27 ( 3 2 ) x = 3 3 3 2 ⋅ x = 3 3 3 2 x = 3 3 ⟺ 2 x = 3 / : 2 ⇒ x = 1.5

Answered by Anonymous | 2024-06-10

You can use logarithms:
Log9(27) which will give you the value of x
X= 1.5

Answered by kltyuiop | 2024-06-10

To solve the equation 9 x = 27 , we rewrite both numbers using base 3. Setting the exponents equal after simplifying allows us to find that x = 1.5 .
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Answered by Anonymous | 2024-12-20