Can someone explain why $x^{\log(a)} = a^{\log(x)}$?
30835
Logarithm proof problem: $a^{\log_b c} = c^{\log_b a}$
8676
Is there any "superlogarithm" or something to solve $x^x$?
46556
How to prove $3^{\log_4n} = n^{\log_43}$?
108007
Can anybody help me with this logarithm problem?
24980
What is the order when doing $x^{y^z}$ and why?
137238
Interpreting coefficients of first differences of logarithms
103598
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
69187
What's my confusion with the chain rule? (Differentiating $x^x$)
97782
Why are the domains for $\ln x^2$ and $2\ln x$ different?
122737
How to understand why $x^0 = 1$, where $x$ is any real number?
113345
Why do we set $x^0 = ct$ instead of $x^0 = t$?
48332
Why does the minimum value of $x^x$ equal $1/e$?
103223
If $x^a$ is $x$ multiplied $a$ times, then how does $x^{-1}$ make sense?
118778
What's the inverse operation of exponents?
86342
Why does $\log(n!)$ and $\log(n^n)$ have the same big-O complexity?
114346
Why is $a^{-1}$ mod $p$ equal to $a^{p-2}$ mod $p$?
122948
$x^{x^{x^{\dots}}}=2$, what is the value of $x$?