Logarithm Concepts and Calculations

The video tutorial explains how to evaluate logarithms using calculators, specifically focusing on the TI-84 calculator's ability to handle different log bases. It covers the use of the change of base formula for calculators without specific log base functions and demonstrates how to verify results. The tutorial also explains how to write related exponential equations and verify them using both common and natural logarithms.

What is the primary purpose of using a calculator in evaluating logarithms?

• To ensure accuracy in results

• To avoid manual calculations

• To write exponential equations

• To save time

Which feature of the TI-84 calculator allows entering any base for logarithms?

• Logarithm mode

• Scientific mode

• Log base feature

• Exponential mode

What is the approximate value of log base 2 of 823 to four decimal places?

• 7.8234

• 8.2374

• 10.2345

• 9.6847

How is the change of base formula used to verify log base 2 of 823?

• By using base 5

• By using base 10

• By using natural log

• By using common log

What is the base used in the logarithm log base 1/2 of 0.78?

• 1/2

• 1/4

• 1/3

• 1/5

What is the approximate value of log base 1/2 of 0.78 to four decimal places?

• 0.3585

• 0.4785

• 0.5895

• 0.6985

What is the base of a common logarithm?

• 2

• 5

• e

• 10

What is the approximate value of log base 10 of 1237 to four decimal places?

• 4.1234

• 2.9876

• 3.4567

• 3.0924

What is the base of a natural logarithm?

• 2

• 5

• 10

• e

What is the approximate value of the natural log of 72 to four decimal places?

• 4.2767

• 3.9876

• 5.1234

• 4.5678