Question

If Ken wanted to create a function that modeled an exponential function with base of 11 and what exponents were needed to reach specific values, how would he set up his function?
f(x) = 11x
f(x) = x11
f(x) = log11x
f(x) = logx11

Answer 1

$\bf \textit{exponential form of a logarithm} \\\\ log_a b=y \implies a^y= b\qquad\qquad % exponential notation 2nd form a^y= b\implies log_a b=y \\\\ -------------------------------\\\\ x=11^y\implies log_{11}(x)=y\implies log_{11}(x)=f(x)$