Solving Exponential Equations with Logarithms

Solving Exponential Equations with Logarithms

​Use the handouts from yesterday to follow along.

Multiple Choice

Solve the equation for x.

• 2.41
• x = 12
• x = 33.333
• x = 5.99

Multiple Choice

7^x = 36

• 1.8416
• 3.5835
• 1.5563
• 3.0903

Multiple Choice

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Multiple Choice

$$2\left(7^x\right)=686$$   Evaluate

• 3

• 13

• 11

• -13

Multiple Choice

$$256=8\left(2\right)^{\left(x-11\right)}$$  Evaluate:

• 32

• 5

• 16

• -6

Multiple Choice

$$2^{13x}=8$$  Evaluate:

• 8192

• 3

• $$\frac{3}{13}$$  

• 256

​Read the text above as a reminder of exponential functions!

Open Ended

Write the equation for the number of bats. (Part a)

Multiple Select

One more...

$$7^{\left(x+3\right)}=46$$  

• $$x=\log\left(39\right)-3$$  

• $$x=\frac{\log\left(46\right)}{\log\left(7\right)-3}$$  

• $$x=\frac{\log\left(46\right)}{\log\left(7\right)}-3$$  

• $$x=\log_746-3$$  

Multiple Choice

Solve this one!

$$3\cdot4^{x-1}=24$$  

• $$x=1$$  

• $$x=\frac{\log8}{\log4}+1$$  

• $$x=\frac{\log21}{\log4}+1$$  

• $$x=1.5$$  

​For the remainder of class...

​Work on your

DeltaMath assignments!