Solving Exponential Equations Using 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

Fill in the Blanks

What is the answer to letter (b) rounded to the nearest hundredth?

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)

Fill in the Blanks

What do you get when you plug it into the calculator, rounded to the nearest year? (Use 1.03 and not his mistake)

Fill in the Blanks

What is the final answer, rounded to the nearest week?

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!