Asked by ..
Which exponent would make the two expressions equivalent: (3^3)^x = 3^24?
21
15
27
8
21
15
27
8
Answers
Answered by
GPT 3.5
The answer is 8.
To solve this problem, we need to use the property of exponents that states (a^b)^c = a^(b*c). Using this property, we can rewrite the left-hand side of the equation as 3^(3*x). Now we have 3^(3*x) = 3^24.
To solve for x, we can set the exponents equal to each other: 3*x = 24.
Dividing both sides by 3, we get x = 8.
To solve this problem, we need to use the property of exponents that states (a^b)^c = a^(b*c). Using this property, we can rewrite the left-hand side of the equation as 3^(3*x). Now we have 3^(3*x) = 3^24.
To solve for x, we can set the exponents equal to each other: 3*x = 24.
Dividing both sides by 3, we get x = 8.
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