Solving Logarithmic and Exponential Equations

2 * 4^{3x – 6} – 8 = 120

• x = 3
• x = 4
• x = 2.9
• x = 8

Tags

CCSS.HSF.LE.A.4

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

3^{2x – 6}  = 81

• x = 5
• x = 4
• x = 3
• x = 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve.

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

• -4.67

• -4.89

• -2.93

• -2.95

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

The first step to solve 8 + log 7 = 10 is...

• Rewrite exponentially

• Subtract 8 on both sides to isolate the log

• Divide by 7 on both sides

Solve each equation. Select the closest answer.

• -0.5

• 0.5

• -0.4

• 0.4

Tags

CCSS.HSA.REI.A.1

Solve each equation. Select the closest answer.

• -0.5

• 0

• -0.4

• 0.1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $-5\left(18^{0.4x}\right)-3=-59$  

•  $2.0896$  

•  $6.0398$  

•  $6.813$  

•  $2.623$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $3\log_5\left(7x\right)=12$  

•  $119$  

•  $3.6$  

•  $6.125$  

•  $89.2857$  

Tags

CCSS.HSF.BF.B.5