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Exponential Inequalities

Exponential Inequalities - Same Base

What is the range of $x$ that satisfies the inequality $2^{2x+4} < 2^{3x+8}?$

x < {-3}

x>{-5}

x < {-2}

x>{-4}

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by Brilliant Staff

If $6^{a+b} < 6^{8}$ and $5^{b-a} = 5^{4},$ what is the range of $a?$

a < {2}

a < {4}

a>{3}

a> {5}

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by Brilliant Staff

If $\frac{3^X}{3\cdot 3^Y} < 1,$ which of the following is true about $X$ and $Y?$

X=1, Y=0

X=Y+1

X-1-Y < 0

Y+1-X<0

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by Brilliant Staff

What is the range of $x$ that satisfies the inequality $3^{x+5} < 3^{7}?$

x < {3}

x < {2}

x> {4}

x> {5}

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by Brilliant Staff

What is the range of $x$ that satisfies the inequality $2^x < 8?$

x < {4}

x < {3}

x> {6}

x> {5}

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by Brilliant Staff

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