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Product Law

If 3x = 500...

Question

If $3^{x} = 500$ , then the value of $3^{x - 2}$ is _______.

\frac{100}{9}

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\frac{1000}{9}

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\frac{500}{9}

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\frac{500}{3}

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Solution

The correct option is C $\frac{500}{9}$
$3^{x} = 500$
$3^{x - 2} = \frac{3^{x}}{3^{2}} = \frac{500}{9}$

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Question 94

What is 100 % of 500?

(3 x^{3} + 9 x^{2} + 27 x) \div 3 x

x^{2} + 9 + 27 x

3 x^{3} + 3 x^{2} + 27 x

3 x^{3} + 9 x^{2} + 9

x^{2} + 3 x + 9

525

x

y

100

lim x \to 2 \frac{3^{x / 2} - 3}{3^{x} - 9}

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