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- Applications of Exponential and Logarithmic Functions

Still Confused?

Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Get Started Now- Lesson: 110:11

In the field of nuclear physics, half-life refers to the amount of time required for radioactive substances to decay into half. In this lesson, we will work on word questions about exponential decay of radioactive substances.

Related Concepts: Derivative of inverse trigonometric functions, Derivative of logarithmic functions

exponential growth/decay: ${ A_f = A_i (f)^{time\over period}}$

${A_f}$: final amount

${A_i}$: initial amount

${f }$ : growth/decay factor

half-time$\to f = {1\over 2}$

triple$\to f = {3}$

ten-fold$\to f = {10}$

increase by 10%$\to f = {({1 + {10\over 100}}) } { = 1.1}$

decrease by 8%$\to f = {({1 - {8\over 100}}) } { = 0.92}$

${time}$ : total time given

${period}$ : every length of time

${A_f}$: final amount

${A_i}$: initial amount

${f }$ : growth/decay factor

half-time$\to f = {1\over 2}$

triple$\to f = {3}$

ten-fold$\to f = {10}$

increase by 10%$\to f = {({1 + {10\over 100}}) } { = 1.1}$

decrease by 8%$\to f = {({1 - {8\over 100}}) } { = 0.92}$

${time}$ : total time given

${period}$ : every length of time

- 1.half-life decay

Strontium-90 is a radioactive substance with a half-life of 28 days.

How many days will it take for a 200 gram sample of strontium-90 to be

reduced to 8 grams?

43.

Applications of Exponential and Logarithmic Functions

43.1

Exponential growth and decay by a factor

43.2

Exponential decay: Half-life

43.3

Exponential growth and decay by percentage

43.4

Finance: Compound interest

43.5

Continuous growth and decay

43.6

Logarithmic scale: Richter scale (earthquake)

43.7

Logarithmic scale: pH scale

43.8

Logarithmic scale: dB scale

43.9

Finance: Future value and present value

We have over 2320 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now43.1

Exponential growth and decay by a factor

43.2

Exponential decay: Half-life

43.3

Exponential growth and decay by percentage

43.4

Finance: Compound interest

43.5

Continuous growth and decay

43.6

Logarithmic scale: Richter scale (earthquake)

43.7

Logarithmic scale: pH scale

43.8

Logarithmic scale: dB scale

43.9

Finance: Future value and present value