Understanding Logarithms

The video tutorial explains how to find the logarithm of 34 using a calculator, specifically focusing on base 10 logarithms. It begins by clarifying the concept of logarithms and the implicit base 10 when no base is specified. The tutorial then demonstrates how to use a calculator, such as the TI-85, to find the logarithm of 34 and round the result to the nearest hundredth, concluding with the final answer of approximately 1.53.

What is the implicit base when the base is not specified in a logarithm?

• Base 2

• Base 10

• Base 8

• Base 5

If you have log base 10 of 34, what are you trying to find?

• The power to which 10 must be raised to get 34

• The difference between 34 and 10

• The number you multiply by 34 to get 10

• The sum of 10 and 34

Which of the following is true about the number 34 in relation to powers of 10?

• 34 is between 10 and 100

• 34 is exactly 10

• 34 is less than 10

• 34 is more than 100

What is the first step in using a calculator to find the log of 34?

• Press the multiplication button

• Press the log button

• Press the subtraction button

• Press the division button

When using a calculator, what is the base assumed by the log button?

• Base 2

• Base 5

• Base 8

• Base 10

After calculating the log of 34, to which decimal place should you round the result?

• Nearest thousandth

• Nearest whole number

• Nearest hundredth

• Nearest tenth

What is the approximate value of log base 10 of 34 rounded to the nearest hundredth?

• 1.53

• 1.55

• 1.50

• 1.57

If the thousand's place is 1, what should you do when rounding to the nearest hundredth?

• Keep the same

• Round down

• Round up

• Add 0.1