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Rates of Change of Logarithmic Functions

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Wize High School Grade 12 Pre-Calculus Textbook > Rates of Change

Rates of Change of Logarithmic Functions

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Practice: Rates of Change of Logarithmic Functions

A radioactive substance decays logarithmically. It can be modelled by the function A(t)=−3log⁡52tA(t)=-3\log_5{2t}, where A(t)A(t) is the amount of the substance in mg\text{mg} after tt days.
More Rates of Change of Logarithmic Functions Questions:
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
If the instantaneous rate of change for the function f(t)=2log⁡3t+1f(t)=2\log_3{t}+1 is 1010, what is tt? Let h=0.001h=0.001.
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
A radioactive substance decays logarithmically. It can be modelled by the function A(t)=−3log⁡52tA(t)=-3\log_5{2t}, where A(t)A(t) is the amount of the substance in mg\text{mg} after tt days.
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
Let f(x)=4log⁡3(x−3)+1f(x)=4\log_3(x-3)+1. Determine the instantaneous rate of change when x=6x=6.
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
Let f(x)=4log⁡3(x−3)+1f(x)=4\log_3(x-3)+1. Determine the instantaneous rate of change when x=6x=6.