Solve Exponential Equations

• Base is -2

• Base is 0

• Base is 1

• Base is 8

• Base is 1/8

Tags

CCSS.6.EE.A.1

• Type 1: Equation with Common Base

• Type 2: Common Base Possible

• Type 3: Common Base not Possible

• Type 1: Equation with Common Base

• Type 2: Common Base Possible

• Type 3: Common Base not Possible

• Type 1: Equation with Common Base

• Type 2: Common Base Possible

• Type 3: Common Base not Possible

• Drop the base of 3 to set the exponents equal

• Add the exponents of the left side

• Divide by 7

• Set 2x+1 equal to 27

• Write 27 as a power of 3 to have the same base

• Write 3 as a power of 27

• Subtract 1 from both sides

What is the inverse of an exponential?

Tags

CCSS.HSF-BF.B.4A

We use logarithms to solve equations when.....

• The bases are already the same

• The bases CAN be written the same

• The bases CANNOT be written the same

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶
• 6³
• 6²
• 3¹²

Tags

CCSS.HSF.BF.B.5

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Tags

CCSS.HSF.BF.B.5