Solving Logarithmic Equations

 $Solve\ for\ x.\ 7^{\left(3x+4\right)}=49^{\left(2x+1\right)}$  

• x = 2

• x = 9

• x = 7/9

• x = 12

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

 $Solve\ for\ x.\ 4^{\left(2x-5\right)}=64^{3x}$  

• x = -7/5

• x = -5/7

• x = 5

• x = -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

 $Solve\ for\ x.\ 5e^{2x}=30$  

• x = 896

• x = 0.968

• x = 0.896

• x = 0.696

Tags

CCSS.HSF.LE.A.4

 $Solve\ for\ x.\ -3e^{\left(2x+3\right)}+16=1$  

• x = -0.596

• x = -0.965

• x = -0.956

• x = -0.695

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

2⋅4^{3x – 6} – 8 = 120 (Careful!)

• x = 3

• x = 4

• x = 2.9

• x = 8

Tags

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

Solve for n.

7ⁿ⁺¹⁰ - 8 = 6

• n = -7.374

• n = -8.643

• n = -7.360

• n = -8.853

Tags

CCSS.HSF.LE.A.4

To solve, 16^5x = 64^x+7, what would be the correct set-up?

There is more than one correct answer.

• 4^4(5x) = 4^16(x+7)

• 8^2(5x) = 8^8(x+7)

• 4^2(5x) = 4^3(x+7)

• 2^4(5x) = 2^6(x+7)

Tags

CCSS.HSA.CED.A.1

Solve for x:

5e^6x+3 = 0.1

• x = -1.152

• x = 0.232

• x = -3.077

• x = -0.854

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5