A biologist is tracking the total population of birds in a national park. Over a 20-year period, the rate of change of the population went from –6,500 per year to 4,200 per year. Which statement best describes this change? The rate of change increased by 10,700 per year.
The rate of change decreased by 10,700 per year.
The rate of change increased by 2,300 per year.
The rate of change decreased by 2,300 per year.

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Ответ:

kaciejackson91

12.04.2022

Mathematics

ANSWER

The inverse of

$y = {3}^{x}$

EXPLANATION

The given logarithmic function is :

$y = log_{3}(x)$

To find the inverse of this function, we interchange x and y to get:

$x= log_{3}(y)$

We now solve for y,

${3}^{x} = {3}^{ log_{3}(x) }$

This implies that,

$y = {3}^{x}$

Therefore the given logarithmic function is the inverse of

$y = {3}^{x}$

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