Exponential Equations Change of Base

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Solve for x.
3^x = 27

• 2

• 4

• 3

• 5

Tags

CCSS.HSF.LE.A.4

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Tags

CCSS.HSF.BF.B.5

Which of the following is the value of x given;
7e^(3x-5) = 49

• x = 2.315

• x = 0.681

• x = 2.964

• No Solution

Solve for x:
(-3)^x = (-3)¹³

• 13

• -3

• x + 13

• x -13

Solve for n:
2^-2n = 2⁶

• n = -1

• n = -7

• n = 5

• n = -3

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Which of the following is the value of x given;
e^(x + 6) = 12

• x = ln 6

• x = -6 + ln12

• x = ln72

• x = ln(-2)

Tags

CCSS.HSF.BF.B.5