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If \( \Large 2^{2x-1}=\frac{1}{8^{x-3}} \), then the value of x is

A) 3
B) 2
C) 0
D) -2

Correct Answer:


B) 2

Description for Correct answer:
\( \Large 2^{2x-1} \times 2^{3x-9}=1 \)

=> \( \Large 2^{5x-10} = 2^{0} \)

=> \( \Large 5x = 10 \)

=> \( \Large x = 2 \)

Part of solved Rational expression questions and answers : >> Elementary Mathematics >> Rational expression

Comments

Similar Questions

1). \( \Large \left(32\right)^{.17} \times \left(32\right)^{.03} \) is equal to

A). 1

B). 2

C). \( \Large \frac{1}{2} \)

D). 3

2). \( \Large \sqrt{144+256} \) is equal to

A). \( \Large \sqrt{144}+\sqrt{256} \)

B). \( \Large \sqrt{144} \times \sqrt{256} \)

C). \( \Large \sqrt{144} \div \sqrt{256} \)

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3). If \( \Large \sqrt{1+\frac{25}{144}}=1+\frac{x}{12} \), then x = ?

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4). If \( \Large \sqrt{6}=2.45 \) then the value of \( \Large \frac{3\sqrt{2}-\sqrt{3}}{3\sqrt{2}+\sqrt{3}} \) equals

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5). \( \Large \sqrt{1+\frac{x}{144}}=\frac{13}{12} \) then x is equal to

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6). If \( \Large \sqrt{18225}=135 \) then the value of \( \Large \sqrt{18225}+\sqrt{182.25}+\sqrt{1.8225}+\sqrt{0.18225} \) is equal to

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7). If \( \Large \sqrt{3}=1.732\ and\ \sqrt{2}=1.414 \), then the value of \( \Large \frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{3}-\sqrt{2}} \) equal

A). 0

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A). 8

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A). \( \Large 5\sqrt{5} \)

B). 25

C). \( \Large 25\sqrt{5} \)

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10). \( \Large \frac{1}{\sqrt{5}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{2}}+\sqrt{2}-\sqrt{5} \) = ?

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