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Excel in math and science
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Algebra
Exponential Inequalities
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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Solve the following for \(x:\) \[\left\{\begin{matrix} 3^x > 9 \\ 3^{x^2} \leq 27^{4x}. \end{matrix}\right.\]
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
What is the range of \(x\) that satisfies the inequality \( \left ( \frac{1}{49} \right )^{x+4} + \left ( \frac{1}{7} \right )^{x+4} > 12 ?\)
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
What is the range of \(x\) that satisfies the inequality \( \left(\frac{1}{5}\right)^{3+x} < 625 < \left( \frac{1}{25} \right)^x ?\)
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
Given \(\log 2=0.3010\) and \(\log 3=0.4771,\) solve the inequality \[\left(2 ^{7}\right)^x<\left(3 ^x\right)^{6}.\]
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
Given \(n \geq 2,\) which of the following numbers is the largest: \[ \sqrt[n]{6^{n-1}}, \sqrt[n]{6^{n+1}}, \sqrt[n+1]{6^n},6 ?\]
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
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by Brilliant Staff