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zvonat [6]
2 years ago
7

If 9^x=25, what does 3^x equal?

Mathematics
1 answer:
Liula [17]2 years ago
4 0

Answer:

3^x=5

Step-by-step explanation:

Given:

9^x=25

Rewrite 9 as 3²:

\implies (3^2)^x=25

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies 3^{2x}=25

Apply the same exponent rule:

\implies (3^x)^2=25

Square root both sides:

\implies \sqrt{(3^x)^2}=\sqrt{25}

\implies 3^x=5

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<u>Explanation</u>

(9m²-4m-6) ÷ 3m  = 9m²/3m - 4m/3m - 6/3m

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What is the value of c in the equation 2(x-3)+9=3(x+1)+x
lianna [129]

Answer:

x = 0  (I must assume you had a typo since c is not a variable in this equation!

Step-by-step explanation:

Solve for x:

2 (x - 3) + 9 = 3 (x + 1) + x

2 (x - 3) = 2 x - 6:

2 x - 6 + 9 = 3 (x + 1) + x

Grouping like terms, 2 x - 6 + 9 = 2 x + (-6 + 9):

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2 x + 3 = (3 x + x) + 3

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Subtract 4 x from both sides:

(2 x - 4 x) + 3 = (4 x - 4 x) + 3

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-2 x = 0

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(-2)/(-2) = 1:

x = 0/(-2)

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