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What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?

What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?-example-1
User Jason Shah
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5.6k points

2 Answers

4 votes

Answer:

last option is correct 3/2

What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?-example-1
User Serhii Matrunchyk
by
5.8k points
6 votes

Answer:

x = 3/2

Explanation:

9^x = 729 ^ 1/2

We need to get the bases the same

729 = 9^3

9^x = 9^3 ^ 1/2

We know that a^b^c = a^(b*c)

9^x = 9^3/2

Since the bases are the same, the exponents are the same

x = 3/2

User Luka Kerr
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5.4k points