3.4 Exponential and Logarithmic equation.

3.4 Exponential and Logarithmic equation.

Thursday, November 5 /2020

Open Ended

 $\left(1.5\right)^x=\ 2.25.\ Find\ the\ value\ of\ x$  

Multiple Choice

Solve the equation: 

 $6^{2x}=6^{\left(-x-1\right)}$  

•  $-\frac{1}{3}$  

•  $\frac{15}{8}$  

•  $5$  

•  $\frac{19}{10}$  

Multiple Choice

Solve the equation: 

 $5^{\left(2-3x\right)}=25$  

•  $\frac{7}{5}$  

•  $-\frac{3}{4}$  

•  $-\frac{7}{6}$  

•  $0$  

Multiple Choice

Solve the equation: 

 $625^{-3x}=125^{\left(2x+2\right)}$  

•  $0$  

•  $1$  

•  $-\frac{1}{3}$  

•  $-9$  

Multiple Choice

Solve:

log₃(x - 5) = 2

• 25

• 5

• 130

• 14

Multiple Choice

Solve

 $\log_9\left(8x\right)+4=4$  

•  $\frac{865}{4}$   

•  $\frac{9}{8}$  
  

•  $\frac{1}{8}$  
  

•  $0$  

Multiple Choice

Solve:

ln (3x + 2) = ln (5x - 6)

• x = 1

• x = 4

• x = 2

• x = 7

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 log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

Multiple Choice

Solve 2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684

Multiple Choice

Solve e^2x = -x + 2 using a graphing utility

• 0.273

• 1.727

• 0.448

• 2.448

Multiple Choice

Solve 8 ^. 3^x = 5

• 0.506

• 2.337

• -0.516

• -0.428

Multiple Choice

Solve 4^{2x - 1} = 5^{x + 2}

• 2.167

• 3.959

• 2.008

• 0.253

Multiple Choice

Solve:

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

Multiple Choice

Solve for x:  log₆x + log₆(x-5) = 2

• √7
• 9
• 4
• none of these

Multiple Choice

Solve:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4