List questions from logarithms

Published on 13 Apr 2026 - 17:37

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How can I prove that $x-{x^2\over2}<\ln(1+x)$

Published on 13 Apr 2026 - 6:53

2.6k

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Forming equations for exponential growth/decay questions

Published on 29 Apr 2026 - 8:40

1.5k

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Exponential decay of the temperature of coffee

Published on 29 Apr 2026 - 8:42

75

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What is the acute angle $A$ if $\log_4(\sin^2A)=-1$?

Published on 16 Apr 2026 - 8:47

245

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Logarithms and exponential decay

Published on 29 Apr 2026 - 8:39

251

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Solving exponential equations like $6^{3x}=4^{2x-3}$ using logarithms

Published on 29 Apr 2026 - 8:39

60

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Let $f(x) = \exp (x^2 − x + 6)$. Choose Dom(f) so that $f^{−1}$ exists. What is $f^{−1}$ and Dom($f^{−1}$) in your case?

Published on 17 Apr 2026 - 2:05

288

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Equation $e^{\frac{1}{x}} - x =0$

Published on 29 Apr 2026 - 8:40

179

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How to find the limit $\lim_{x\to\infty}\frac{\ln(x^2+x+5)}{\ln(x^8-x+3)}$?

Published on 15 Apr 2026 - 19:34

42

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Tigher bounds on concavity of log

Published on 14 Apr 2026 - 7:47

333

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Is the product rule for logarithms an if-and-only-if statement?

Published on 17 Apr 2026 - 0:13

51

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Laws of Logarithms

Published on 09 Apr 2026 - 10:33

103

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Computing Principal Logarithm on Different Intervals

Published on 11 Apr 2026 - 21:58

221

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Logarithms of Negative Numbers

Published on 13 Apr 2026 - 3:40

List Question

Condensing logarithmic expressions

How can I prove that $x-{x^2\over2}<\ln(1+x)$

Forming equations for exponential growth/decay questions

Exponential decay of the temperature of coffee

What is the acute angle $A$ if $\log_4(\sin^2A)=-1$?

Logarithms and exponential decay

Solving exponential equations like $6^{3x}=4^{2x-3}$ using logarithms

Let $f(x) = \exp (x^2 − x + 6)$. Choose Dom(f) so that $f^{−1}$ exists. What is $f^{−1}$ and Dom($f^{−1}$) in your case?

Equation $e^{\frac{1}{x}} - x =0$

How to find the limit $\lim_{x\to\infty}\frac{\ln(x^2+x+5)}{\ln(x^8-x+3)}$?

Tigher bounds on concavity of log

Is the product rule for logarithms an if-and-only-if statement?

Laws of Logarithms

Computing Principal Logarithm on Different Intervals

Logarithms of Negative Numbers

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