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Logarithmic inequalities are useful in analyzing situations involving repeated multiplication, such as interest and exponential decay.
True or false: \(\ln(10) > 2\)
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\[\log_{2}(x-2) + \log_{2}(x-3) < 1\]
What values of \(x\) satisfy the above statement?
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How many integer values of \(x\) satisfy this inequality?
\[\ln(2x) > \ln(x^2-3)\]
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What values of \(x\) satisfy the relationship
\(\log_{6}(x-3) < \log_{7}(x-3)\)
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\[\log_{5}(x-5) < 2\]
Solve for x.
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