Solving Logarithmic and Exponential Equations

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve. 
4^(6x-12)=7

• 1.40
• 2.23
• 13.40
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve.

9(e^x) - 31 =23

• x = 1.79

• x = 4.21

• x = -3.5

• x = 1.27

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Solve.

2(16^x+6) - 8 = 35

• -4.67

• -4.89

• -2.93

• -2.95

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve:

log₈(6-5x) = log₈(3- 4x)

• x = 3

• No Solution

• x = 9

• x = 1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

Solve:

log₅(-60+n)=log₅(n²+17n)

• No Solution

• -10 and -6

• -10

• -6

Solve the equation: 

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

•  $0$  

•  $1$  

•  $-\frac{1}{3}$  

•  $-9$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the equation:

  $32^{\left(-3x+1\right)}=\left(\frac{1}{4}\right)^{5x}$  

• 1

•  $\frac{1}{8}$  

• 5

•  $\frac{1}{5}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve the equation:

  $4^{2x\ }=\ 7$  

• 0

• 1.311

• .364

• .702

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve:

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4