Respuesta :
this is a really interesting question!! exponential functions and logarithmic functions are actually inverses functions; the way to "undo" logarithms is by exponents, the way to "undo" exponents is by logarithms. an exponent tells you how many times you need to multiply a value; logarithms ask what exponent you need to get a certain value. you could use logarithms and exponents to calculate interest rates, as a real life example. they can also be used in calculating population growth or the half-life of an organism in biology.
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay.
The logarithmic function [tex]\bold{y=log_ax}[/tex] is defined to be equivalent to the exponential equation x = ay.
Real life example:
Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity)
Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment, population growth, and carbon dating.
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