Exponential Equations

Rewrite the exponential as a log.

2^3x+1 = 12

• ln(2)= 3x+1

• log₂(12)= 3x+1

• ln(6)=3x+1

• log₁₂(2)= 3x+1

Tags

CCSS.HSF.BF.B.5

4^{3x + 5} = 16

• -5/3

• -1

• -3/2

• 2/3

Tags

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.LE.A.4

CCSS.HSF.BF.B.5

Solve the equation: 

 $5^{\left(2-3x\right)}=25$  

•  $\frac{7}{5}$  

•  $-\frac{3}{4}$  

•  $-\frac{7}{6}$  

•  $0$  

Tags

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve the equation:

  $4^{2x\ }=\ 7$  

• 0

• 1.311

• .364

• .702

Tags

CCSS.HSF.LE.A.4

Solve. 
4^(6x-12)=7

• 1.40
• 2.23
• 13.40
• 3

Tags

CCSS.HSF.LE.A.4

• -1.3617

• 1.3617

• -5.6756

• 5.6756

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

Tags

CCSS.7.EE.B.4A

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3

Tags

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.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1