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Excel in math and science
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Algebra
Logarithmic Functions
Excel in math and science
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Concept Quizzes
Let \(f\) be the translation \(f: (x,y) \to (x+m, y+n)\), where \(m\) and \(n\) are constants. If \(f\) transforms the curve \(y=\log_2 3x\) to \(y=\log_2 (12x-108)\), what is \(m+n\)?
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff
Which of the following could be the graph of \( \log_a {x} \: \) if \( 0<a<1 \:? \)
Excel in math and science
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by Brilliant Staff
(A) \(~ y = \log{|x|} \)
(B) \(~ y = \left|\log{|x|}\right| \)
(C) \(~ |y| = \log{x} \)
(D) \(~ y = |\log{x}| \)
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff
For \(x\) and \(y\) satisfying \(x+y=8\), let \(m\) be the maximum value of \[\log_{4}x+\log_{4}y.\] If \(a\) and \(b\) are the values of \(x\) and \(y\), respectively, for which the maximum value is attained, what is \(m+2a+3b\)?
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff
Which of the following could be the graph of \( \log_a {x} \: \) if \( 0<a<1 \:? \)
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,
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Used and loved by 4 million people
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by Brilliant Staff