Solving Exponential Equations with Like Bases

Mathching each group of numbers in exponential form to its equivalent value.

• 1/9 and 27

• 8 and 16

• 1/25 and 125

• 4 and 32

• 1/27 and 1/81

Tags

CCSS.HSA.APR.A.1

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Solve for x using the same base method.
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Solve 3²⁶ = 3^{4x + 2}

• x = 6

• x = 5

• x = 3

• x = -4

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

• 8
• 4
• 2
• Cannot be determined

Rewrite 32 as a power of 2:

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

• 3⁶
• 6³
• 6²
• 3¹²

Solve 3³ = (3²)^{2x + 1}

• x = ¼

• x = -¼

• x = ½

• x = -½

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3