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1 Solve an exponential equation using a common base Use logarithms to solve exponential equations Use exponential to solve logarithmic equations Use a graph or table to solve exponential or logarithmic equations Model & solve real world situations using exponential equations

Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 1: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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­ Solve an exponential equation using a common base

­ Use logarithms to solve exponential equations

­ Use exponential to solve logarithmic equations

­ Use a graph or table to solve exponential or logarithmic equations

­ Model & solve real world situations using exponential equations

Page 2: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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For Prize B: Can you make an equation to model the prize money?

How much money do you get on day 10?  ....day 20?  ....day 30?

Page 3: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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What do the a, b, & c represent in this equation?

Page 4: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 5: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 6: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 7: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 8: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 9: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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This problem is not in

 your book!

Or do:

And find the zeros.

Page 10: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 11: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 12: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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(or graph)

Page 13: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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T(n)=a(b)na = number of trees to start with

What is b?

This problem is 

not in your book!

Page 14: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 15: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 16: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 17: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Page 20: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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* *(And Check answers!)

Page 21: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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We came up with the equation y = .01(2n­1) to model prize B money.

How can we use this to find out on exactly what day Prize B will pay at least $10,000?

Back to

 the

Solve It...

Page 22: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Remember the Richter Scale? 

Let's use it to solve #18.

Page 23: Use a graph or table to solve exponential or logarithmic ......= 43x - 6000 Problem 3 Solving an Exponential Equation With a Graph or Table What is the solution of 43x = 6000? Method

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Assignment:Section 5.5: problems 12­16, 20, 21­29, 

36­49, 53­55 For #13, 20, 21, 38, 40, 42, 45, & 48: solve without a calculator & give 

an exact answer and then put it in the calculator & give a decimal 

answer ­ rounded to 4 decimals. (For #36 & 37 use calculator to solve.)

#20 add

ed to   

assignm

ent!