CW 5.5_Use Log to Solve Exponential Equation

What is the first step when you solve the following equation?

8 ^. 3^x = 40

(Please type the simplified equation for the 1st step.)

Mathematical Equivalence

ON

If Sami is interested to invest $1000 for a product with 8% interest per year. How many years would take Sami to reach $5000 (round to the nearest year)?

Type the equation that models the scenario.

(Please use x to represent the time in your equation.)

Mathematical Equivalence

ON

What will you type in the calculator when you solve the following equation?

2.8^x = 41

Mathematical Equivalence

ON

Combine the following expression as a single log:
log₂x -  5log₂y (a)  

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

What key do we use to type log₅20 on the calculator?

​ (a)  

• Math
• Log
• Alpha
• Ln

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

In March, 2020, before the Covid-19 lockdown, 1,200,000 Texans had applied for unemployment. During the COVID-19 lockdown, the number of people applying for unemployment increased by 4% each month. What exponential function can be used to find the number of people applying for unemployment after x months of COVID-19 lockdown?​ (a)  

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

Evaluate.

log₂8⁷

Mathematical Equivalence

ON

• take the LOG of both sides

• subtract 4 to both sides

• divide by 4 on both sides

• divide by 8 on both sides