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Exponential Inequalities
When will a bacteria colony reach a certain size? When will one investment outperform another? Many real-world models use exponential functions, and you'll need these tools to compare them.
Excel in math and science
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Our wiki is made for math and science
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Concept Quizzes
Challenge Quizzes
What is the range of \(x\) that satisfies the inequality \( 2^{2x+4} < 2^{3x+8}?\)
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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by Brilliant Staff
If \(6^{a+b} < 6^{8} \) and \(5^{b-a} = 5^{4},\) what is the range of \(a?\)
Excel in math and science
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Our wiki is made for math and science
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If \( \frac{3^X}{3\cdot 3^Y} < 1,\) which of the following is true about \(X\) and \(Y?\)
Excel in math and science
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It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
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What is the range of \(x\) that satisfies the inequality \( 3^{x+5} < 3^{7}?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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That seems reasonable.
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by Brilliant Staff
What is the range of \(x\) that satisfies the inequality \( 2^x < 8?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Your answer seems reasonable.
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That seems reasonable.
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by Brilliant Staff