Using the change of base formula to solve, log7 (2401) = x

The video tutorial covers solving logarithms by using equality and converting them to exponential form. It demonstrates solving a specific logarithmic equation by converting it to exponential form and calculating the power. The tutorial also introduces the change of base formula for evaluating logarithms that do not result in integer powers, using a calculator for verification. Practical applications of these methods are discussed to reinforce understanding.

What is one method to solve an equation involving logarithms?

• Convert the logarithm to a fraction

• Subtract the logarithm from its base

• Use the equality of logarithms

• Multiply the logarithm by its base

If 7 to the power of X equals 2401, what is the value of X?

• 6

• 5

• 3

• 4

What is the result of 7 raised to the 4th power?

• 130

• 2401

• 49

• 343

What is the purpose of the change of base formula?

• To convert logarithms to fractions

• To add logarithms to their bases

• To multiply logarithms by their bases

• To solve logarithms with non-integer results

How can you calculate log base 3 of 5 using a calculator?

• Divide log 5 by log 3

• Multiply log 5 by log 3

• Add log 5 to log 3

• Subtract log 3 from log 5