Compound Interest & Population Growth Word Problems - Logarithms

This algebra video tutorial explains how to solve the compound interest word problem, population growth, and the bacterial growth word problems using basic properties of logarithms. This video contains plenty of examples and practice problems on exponential growth and decay.
Logarithms - The Easy Way!
• Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
____________________________________
Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
_______________________________________
Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
_______________________________________
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MR. Organic Chemistry Tutor, thank you for a well-organized lecture/video on Compound Interest and Population Growth Word Problems. These are common everyday problems on planet earth.

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[@toefff]

This confuses me a bit because the formula that my prof. provided for population growth is A=Pe^rt. I was surprised when he doesn't even use the Euler's number in his solutions which slightly made a difference in answers. Which one is the correct one to use?

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[@calisthenicsguy0518]

What if the n is missing in your first example letter c and how fo you find the ln there?

[@divinea3092]

Is there any other way to get t instead of using natural log.

[@dioutoroo]

Thank you for the lesson! Can anyone explain why didn't he used the A = P(1+r/n) raised to nt on the bacteria example?

[@cvelyy]

Because the formula A = P(1+r/n) is used only for compound interest equations, but the bacteria one is a exponential growth question

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What does accumulate mean then

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Hit says how long will it take 5000 to accumulate to 50000 in a trust that earns 21.6%

[@freshfish9718]

Hello I am from a IGCSE board in india.
The formula we use is A=P(1+r/100)^n
There is no ^n x t
Why is it so and which one do I use

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how do i find rate

[@anilmawji]

I know this is pretty late, but I hope it is helpful to anyone else reading. To find the rate at which an account is compounded (at a specific point in time), take the derivative of your function. This will yield the rate at which the function increases or decreases. All you need to do from there is plug in t.

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