Question

A local snail population grows according to the function g(x)=(1.03)^2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then explain to lris how the key features of this local snail population compares to the key features of the invasive population

I doun't get we're to even start this problem

Answer 1

hmmm have you covered the exponent rules? recall that \(\bf (a^{\color{red}{ n}})^{\color{blue}{ m}}\implies a^{{\color{red}{ n}}\cdot {\color{blue}{ m}}}\)

Answer 2

thus \(\bf g(x)=(1.03)^{2x}\implies g(x)=(1.03^\square )^{x}\ ?\) thus using only the "x" exponent, rather than 2x