Logarithmic in Business Math

Logarithmic Function and Equation in Business Math

​Code: 57277-43303

Poll

Rate Yourself:

When given a problem, I can identify whether the problem involves annuity or interest.

• Always True

• Sometimes True

• Never True

Poll

Rate Yourself:

When given a problem, I can solve for the missing variable correctly.

• Always True

• Sometimes True

• Never True

Poll

Rate Yourself:

When given a problem, I can identify the given correctly.

• Always True

• Sometimes True

• Never True

Poll

Rate Yourself:

I know how to solve logarithmic equation.

• Always True

• Sometimes True

• Never True

Open Ended

Find the value of x: $$0.1^{2+x}=7$$

Open Ended

Find the value of x: $$50=20\left(1.003\right)^{2x}$$

Multiple Choice

Let's Review:

Carlos is saving up for a house that requires a down payment worth ₱500,000. He decides to invest ₱200,000 in a fixed deposit account that offers an annual interest rate of 6%, compounded quarterly. How long will it take for Carlos to accumulate the required down payment for the house?

• Approximately 7-8 years

• Approximately 10-11 years

• Approximately 15-16 years

• Approximately 5-6 years

Activity 10: Logarithmic in Business Math

​Illustrative Example:

Liam wants to save ₱750,000 to renovate his home. He decides to invest ₱10,000 every month into an account that earns an annual interest rate of 5%, compounded monthly. How long will it take for Liam to reach his savings goal?

​Problem 1:

Ana invests ₱120,000 in a time deposit account that offers an annual interest rate of 4%, compounded semi-annually. How long will it take for Ana to save around ₱200,000?

​Problem 2:

Pia plans to save ₱8,000 every end of the month in a savings account that earns an annual interest rate of 6%, compounded monthly. She wants to accumulate ₱500,000 for a business venture. How long will it take for Sophia to reach her savings goal?