New posts in Logarithms

Simplifying $i \left[ \ln(x+i)-\ln(x-i)-\ln(1+ix)+\ln(1-ix) \right]$

Finding the number of digits of a given integer.

Show that there exists an integer that is a power of 5 with the first 4 digits being 2018.

Non-graphical solution to $5\log_{4}a\ + 48\log_{a}4 = \frac{a}{8}$

An algebraic solution for $\log_3(x+1)+\log_2(x)=5$

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

Domain of $7^{\log_7(x^2-4x+5)}$

Where do we need absolute values when solving $u'(t) = \frac{u^2(t) - u(t)}{t}$

Does the logarithm satisfy any differential equation?

Prove $\int_0^1 \frac{\tanh^{-1} (\beta t) dt}{t\sqrt{(1-t)(1- \alpha t)}}=\log (a) \log (b)$