Logarithmic and Exponential Functions

The video tutorial explains how to evaluate logarithms without using a calculator. It covers converting logarithmic equations to exponential form and solving them by equating exponents. Two examples are provided: log base 3 of 81 and log base 2 of 32. The tutorial concludes with an introduction to logarithms involving fractions.

What is the main goal of the video tutorial?

• To understand the history of logarithms

• To evaluate logarithms without a calculator

• To learn how to use a calculator for logarithms

• To memorize logarithmic tables

What is the first step in evaluating a logarithm without a calculator?

• Use a logarithmic table

• Guess the value of the logarithm

• Convert the logarithm to an exponential equation

• Use a calculator to find the value

In the equation 3^x = 81, what is the value of x?

• 3

• 2

• 5

• 4

How can 81 be expressed as a power of 3?

• 3^3

• 3^2

• 3^4

• 3^5

What is the value of log base 3 of 81?

• 5

• 2

• 4

• 3

In the equation 2^y = 32, what is the value of y?

• 3

• 6

• 4

• 5

How can 32 be expressed as a power of 2?

• 2^6

• 2^5

• 2^4

• 2^3

What is the value of log base 2 of 32?

• 3

• 4

• 5

• 6

What will be discussed next after solving log base 2 of 32?

• Logarithms with fractional numbers

• Advanced logarithmic equations

• Using calculators for logarithms

• History of logarithms