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Logarithmic Functions

What are Logarithms? Laws of Logarithms Euler's Number, $e$ Natural Logarithms $ln$ Change of Base Logarithms to Solve Equations Logarithmic Functions

When $1 \lt a \lt b \lt a^2$, rank the following in order from least (1) to greatest (4):

$\log_a{b}$
$\log_b{a}$
$\log_a{ab}$
$\log_b{\frac{b}{a}}$