Exponential and logarithmic equations

Exponential and logarithmic equations

week of 4/19

A2.F.IF.B.4

Objective

• SWBAT create one variable linear, quadratic, rational, or exponential equations and inequalities IOT use them to solve real-world situations

• SWBAT write or rewrite an exponential function to reveal the percent rate of change and the y-intercept IOT identify key features of the graph and interpret them in a context.

Multiple Select

according to the objective and Title slide: Which functions will we be solving equations for?

• Quadratic

• Exponential

• Linear

• Logarithmic

Multiple Choice

Condense

• A

• B

• C

• D

Multiple Choice

• 6log₈(xyz)

• log₈(x) - log₈(y) - 6log₈(z)

• log₈(x) + log₈(y) - log₈(z)

• log₈(x) + log₈(y) + 6log₈(z)

Multiple Choice

Condense

• A

• B

• C

• D

Multiple Choice

Solve the equation:

  $4^{2x\ }=\ 7$  

• 0

• 1.311

• .364

• .702

Multiple Choice

Solve the equation: 

 $5^{\left(2-3x\right)}=25$  

•  $\frac{7}{5}$  

•  $-\frac{3}{4}$  

•  $-\frac{7}{6}$  

•  $0$  

Multiple Choice

Solve:

log₃(x - 5) = 2

• 25

• 5

• 130

• 14

Multiple Choice

Solve:

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Multiple Choice

Solve:

log₂ x + log₂ (x + 5) = log₂ (3x + 8)

• x = 2

• x = -4

• x = 2 and x = -4

• no solution

Multiple Choice

Solve:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4

Multiple Choice

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution