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Solving $(\log_2 x) - 4 = 5\log_x 2$

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#logarithms
63
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Inverting the logarithm rule for quotients

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#algebra-precalculus #logarithms
109
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Compare $\log_34$ and $2^\frac 1 4$

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#logarithms #irrational-numbers
100
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Why do I need to switch the sign of the natural log in this trig-sub integration problem?

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#calculus #integration #logarithms
651
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Find $\lim_\limits{x\to -\infty}{\frac{\ln\left(1+3^x\right)}{\ln\left(1+2^x\right)}}$

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#limits #logarithms #limits-without-lhopital
22
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Manipulate the following equation for $P_2$

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#calculus #logarithms
715
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Do these functions have the same order of growth?

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#logarithms #exponential-function #computational-complexity
247
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How to prove that n! have a higher order of growth than n^(log n)?

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#limits #algorithms #logarithms #exponential-function #computational-complexity
79
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Solving $\frac{\text{d}P}{\text{d}t}=kP\left(\frac{A-P}{A}\right)\left(\frac{P-m}{P}\right)$

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#calculus #integration #ordinary-differential-equations #logarithms #partial-fractions
184
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how to prove using elementary comparisons that $x \log x \leq \log(2x^2-3x+2)$?

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#calculus #functions #inequality #logarithms
550
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Prove the inequality for all natural numbers n using induction

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#inequality #proof-writing #induction #logarithms
217
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$\log{(a+b)} = \log{(a)} ♤ \log{(b)} $

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#logarithms
178
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Taylor expansion of logarithm function.

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#calculus #real-analysis #logarithms #exponential-function #taylor-expansion
107
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How many digits will $5^{4^{3^2}}$ produce?

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#logarithms #exponentiation
96
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a basic question on logarithms (textbook's solution of logarithmic equation)

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#algebra-precalculus #logarithms

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