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Questions tagged [logarithms]

Questions related to real and complex logarithms.

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An inequality flip involving logarithms base 0.92

The question here involved you needing to find the smallest integer $n$ such that $S_n > 72$ where $$S_N = 6\sum_{i=1}^n 0.92^{i-1}$$ This seemed like a basic question with nothing unusual ...
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How to prove $\log_{18}12$ is irrational?

I was trying to prove this through contradiction where I supposed that it was rational but it didnt seem to work out. Any help would be appreciated.
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Using a single function, how can I model a logarithmic-like increase followed by an exponential-like decay?

Using a single function, how can I model a logarithmic-like increase followed by an exponential-like decay? The transition will occur at some critical value, Tcrit. A graph of my experimental data is ...
Expressing $\log_4 0.75$ in terms of $\log_43$ and $\log_45$ [on hold]
Given that $$\log_43 = a$$ $$\log_45 = b$$ How to find $\log_4 0.75$ in terms of $a$ and $b$?