Solving exponential and log equations

Solve $2^x=13$  

• 1.11

• 0.27

• 3.70

• 3.60

Tags

CCSS.HSF.LE.A.4

Solve $5\cdot3^x=7$  

• 0.31

• 3.27

• 2.58

• 0.87

Tags

CCSS.HSF.LE.A.4

Solve $2^{x-3}=5$  

• 2

• 5.32

• 6.76

• 7.01

Tags

CCSS.HSF.LE.A.4

log₂(2) + log₂(8x) = 6

• x = 3
• x = 2
• x = 6
• x = 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

log₆(2x + 3) = 3

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

Tags

CCSS.HSF.BF.B.5

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

 $\log_4\left(8x\right)+7=10$  

• 3

•  $\frac{\log7}{\log4}$  

• 8

• 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

How would you solve an exponential equation like the one below:
 $4^{2x-3}=4^{6x+5}$  

• Rewrite  $4$  as  $2^2$  

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

How would you solve an exponential equation like the one below:
 $3^{x+7}=27^{-3x-1}$  

• Rewrite  $27$  as  $3^3$  

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Tags

CCSS.HSF.LE.A.4