U6D11 Have out: Bellwork: Solve for x.

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Presentation transcript:

U6D11 Have out: Bellwork: Solve for x. Assignment, pencil, red pen, highlighter, calculator U6D11 Have out: Bellwork: Solve for x. a) 9x = 507 b) 3x+1 = 2700 +1 c) 82x = 124 +1 +1 log 9x = log 507 log 3x+1 = log 2700 log 82x = log 124 +1 +1 x log 9 = log 507 +1 2x log 8 = log 124 (x+1) log 3 = log 2700 2 log 8 2 log 8 log 9 log 9 +1 +1 log 3 log 3 +1 +1 +1 x ≈ 1.16 +1 x ≈ 2.83 +1 +1 total: x ≈ 6.19 +1

Log ( ) + Log ( ) = # This is the final type of logarithmic equation that we must learn to solve. Steps: Example #1: 1) Combine the left side using any combination of the _______, _______, and/or _____ properties. product quotient power 2) Use the ______________ to rewrite the equation from _____ form to ___________ form. definition of logs log exponential 3) Solve for x.

Log ( ) + Log ( ) = # This is the final type of logarithmic equation that we must learn to solve. Steps: Example #2: 1) Combine the left side using any combination of the _______, _______, and/or _____ properties. product quotient power 2) Use the ______________ to rewrite the equation from _____ form to ___________ form. definition of logs log Did you check, sucka? exponential 3) Solve for x.

(x – 4)(x + 2) = 0 x – 4 =0 x + 2 = 0 x = 4 x = –2 x = 4 Practice #4: Solve for x. a) b) Did you check, sucka? (x – 4)(x + 2) = 0 x – 4 =0 x + 2 = 0 x = 4 x = –2 x = 4

Practice #4: Solve for x. c) –5x –5x

Combine any logs on the same side of an equation using log properties. Log Equations Summary We have solved several different types of log equations in this chapter. Copy down the following to help you distinguish between each type. 5 x = 400 Hints when solving: Combine any logs on the same side of an equation using log properties. When there is a single log on one side equal to a # on the other side, rewrite the log in exponential form.

Log Equations Summary Hints when solving: Combine any logs on the same side of an equation using log properties. x – 7 = 0 x + 2 = 0 When there is a log equal to a log (and they have the same base), set the arguments equal. x = 7 x = –2 Check!!!

Log Equations Summary Hints when solving: If the base and argument cannot be rewritten as common bases, then log both sides and use log properties to solve for the exponent.

Finish today's assignment: Worksheet But first…

Quiz time!! It’s… When you finish, continue working on the worksheet. Clear your desk except for a pencil and highlighter. No Calculator!!! When you finish, continue working on the worksheet.