Logarithmic and Exponential Functions

The video tutorial covers solving logarithmic equations, building on previous lessons about logs and exponential equations. It introduces the Graph and Calc 83 app for calculations, reviews key concepts, and explains the log loop method. The tutorial also covers common logarithms, the change of base formula, and how to evaluate logarithmic expressions using a calculator. It addresses handling decimal exponents and provides practice instructions.

What is the relationship between logarithmic and exponential equations?

• They are unrelated.

• They are both types of polynomial equations.

• Logarithmic equations are the inverse of exponential equations.

• Exponential equations are a type of logarithmic equation.

What is the base of a common logarithm if no base is specified?

• e

• 2

• 10

• 5

Which formula allows you to solve logarithmic equations using a calculator?

• Pythagorean theorem

• Binomial theorem

• Change of base formula

• Quadratic formula

How do you express the exponent in the change of base formula?

• Log of the value times log of the base

• Log of the base times log of the value

• Log of the value divided by log of the base

• Log of the base divided by log of the value

What is the result of log base 6 of 36 using the change of base formula?

• 1

• 2

• 3

• 4

If you have a logarithmic equation with a decimal exponent, what should you do?

• Ignore the decimal

• Round to the nearest whole number

• Use the change of base formula and round as instructed

• Convert it to a fraction

What is the rounded result of log base 6 of 37 to two decimal places?

• 2.04

• 2.03

• 2.02

• 2.01

In the change of base formula, what do you divide by to find the exponent?

• Log of the base

• The value itself

• Log of the value

• The base itself

What is the estimated result of 5 to the power of 2.28?

• 40

• 39

• 38

• 37

What should you do if the number to the right of the decimal is 5 or more when rounding?

• Round down

• Round up

• Leave it as is

• Convert to a fraction