Logarithms – Change of Base | Don't Memorise | Summary and Q&A

363.2K views
November 28, 2016
by
Infinity Learn NEET
YouTube video player
Logarithms – Change of Base | Don't Memorise

TL;DR

The change of base formula allows us to find logarithm values using different bases, such as base 10 or base e.

Install to Summarize YouTube Videos and Get Transcripts

Key Insights

  • 😀 Logarithms with bases 10 and e are commonly used in scientific and financial calculations.
  • ⚾ The change of base formula allows us to find logarithm values with different bases by using the formula log of a to the base B can be written as log of a to the base x divided by log of B to the base x.
  • ⚾ The change of base formula can be used when calculators do not have a specific logarithm function, such as log to the base 3.
  • ⚾ The change of base formula can be used with bases e or 10, depending on the available functions in the calculator.
  • ⚾ The result of logarithm calculations using the change of base formula should be the same, regardless of the base used, as they represent the same logarithmic value.
  • ⚾ The change of base formula can be used to derive the property that log of a to the base B multiplied by log of B to the base a will always equal one.

Transcript

Read and summarize the transcript of this video on Glasp Reader (beta).

Questions & Answers

Q: What are the most commonly used bases in logarithms?

The most commonly used bases in logarithms are base 10 and base e (also known as the natural logarithm).

Q: How does the change of base formula work?

The change of base formula allows us to find logarithm values using different bases. It states that log of a to the base B can be written as log of a to the base x divided by log of B to the base x.

Q: How can we calculate log 8 to the base 3 using a calculator?

Since most calculators have logarithm functions for base 10 and base e, we can use the change of base formula by writing log 8 to the base 3 as log 8 to the base e divided by log 3 to the base e.

Q: What if the calculator does not have a natural logarithm function?

If the calculator does not have a natural logarithm function, we can also use the change of base formula with base 10. In this case, log 8 to the base 3 can be written as log 8 to the base 10 divided by log 3 to the base 10.

Summary & Key Takeaways

  • Logarithms with bases 10 and e are commonly used in scientific and financial calculations.

  • The change of base formula states that log of a to the base B can be written as log of a to the base x over log of B to the base x.

  • To calculate log 8 to the base 3, the change of base formula can be used with bases e or 10.

Share This Summary 📚

Summarize YouTube Videos and Get Video Transcripts with 1-Click

Download browser extensions on:

Explore More Summaries from Infinity Learn NEET 📚

Summarize YouTube Videos and Get Video Transcripts with 1-Click

Download browser extensions on: