An environmental scientist found that the number of gallons of a pollutant in a lake is growing according to the function A(t)=2.2(1.6)tA(t)=2.2(1.6)t where t is the number of years since January 1st, 2020. According to this function definition, how many years since January 1st, 2020 will it take for the lake to contain exactly 7 gallons of the pollutant? t=log1.6(7⋅2.2) t=log1.6(7)/2.2 t=log2.2(7/1.6) t=log1.6(7/2.2) t=7/1.6⋅2.2
An environmental scientist found that the number of gallons of a pollutant in a lake is growing according to the function A(t)=2.2(1.6)tA(t)=2.2(1.6)t where t is the number of years since January 1st, 2020. According to this function definition, how many years since January 1st, 2020 will it take for the lake to contain exactly 7 gallons of the pollutant? t=log1.6(7⋅2.2) t=log1.6(7)/2.2 t=log2.2(7/1.6) t=log1.6(7/2.2) t=7/1.6⋅2.2
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 1SE: The inverse of every logarithmic function is anexponential function and vice-versa. What doesthis...
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An environmental scientist found that the number of gallons of a pollutant in a lake is growing according to the function A(t)=2.2(1.6)tA(t)=2.2(1.6)t where t is the number of years since January 1st, 2020. According to this function definition, how many years since January 1st, 2020 will it take for the lake to contain exactly 7 gallons of the pollutant?
t=log1.6(7⋅2.2)
t=log1.6(7)/2.2
t=log2.2(7/1.6)
t=log1.6(7/2.2)
t=7/1.6⋅2.2
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