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SWBAT: Solve Exponential Equations with like and unlike bases

SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

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Page 1: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

Page 2: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟔𝟐 = 𝟑𝟔

𝟑𝟒 = 𝟗𝟐 = 𝟖𝟏

𝟐𝟓 = 𝟑𝟐

Page 3: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟑𝒙 = 𝟑𝟐𝒙−𝟐

𝒙 = 𝟐𝒙 − 𝟐

𝒙 = 𝟐

−𝟏𝒙 = −𝟐

Page 4: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

−𝒙 + 𝟐 = 𝟑 −𝟏𝒙 = 𝟏

𝒙 = −𝟏 𝟐𝒙 - 1 = 𝒙 + 𝟐

𝒙 = 𝟑

Page 5: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟐𝟐𝒙 = 𝟖 𝟐𝟐𝒙 = 𝟐𝟑

𝟐𝒙 = 𝟑

𝒙 = 𝟑

𝟐

Page 6: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟒𝟑 𝒙= 𝟒𝟐𝒙−𝟔

𝟑𝒙 = 𝟐𝒙 − 𝟔 𝒙 = −𝟔

𝟓𝟑𝒙 = 𝟓𝟐 𝒙+𝟏

𝟑𝒙 = 𝟐(𝒙 + 𝟏) 𝟑𝒙 = 𝟐𝒙 + 𝟐

𝒙 = 𝟐

Page 7: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟗𝒙+𝟏 = 𝟐𝟕𝒙

𝟑𝟐 𝒙+𝟏 = 𝟑𝟑 𝒙

𝟑𝟐𝒙+𝟐 = 𝟑𝟑𝒙

𝟐𝒙 + 𝟐 = 𝟑𝒙

𝟐 = 𝒙

Page 8: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟓𝟑 𝒙 = 𝟓𝟐

𝟑𝒙 = 𝟐

𝒙 = 𝟐

𝟑

𝟐𝟑 𝒙 = 𝟐𝟐 𝒙+𝟏

𝟐𝟑𝒙 = 𝟐𝟐𝒙+𝟐

𝟑𝒙 = 𝟐𝒙 + 𝟐

𝒙 = 𝟐

Page 9: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟓𝒙−𝟏 = 𝟏

𝟐𝟓

𝟐𝒙

𝟓𝒙−𝟏 = 𝟓−𝟐 𝟐𝒙

𝟓𝒙−𝟏 = 𝟓−𝟒𝒙

𝒙 − 𝟏 = −𝟒𝒙 𝒙 =

𝟏

𝟓

𝟐−𝟐 𝒙= 𝟐𝟑 𝟏−𝒙

𝟐−𝟐𝒙 = 𝟐𝟑−𝟑𝒙

-𝟐𝒙 = 𝟑 − 𝟑𝒙

𝒙 = 𝟑

Page 10: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

Page 11: SWBAT: Solve Exponential Equations with like and unlike bases...SWBAT: Solve Exponential Equations with like and unlike bases ... terms of the same base can solved using the property:

SWBAT: Solve Exponential Equations with like and unlike bases

𝟐𝟐 𝟐𝒙+𝟓= 𝟐𝟑 𝟑𝒙

𝟐𝟒𝒙+𝟏𝟎 = 𝟐𝟗𝒙

4𝐱 + 𝟏𝟎 = 𝟗𝒙

𝟐 = 𝒙

𝟏𝟎 = 𝟓𝒙