Solving Exponential Equations Using Logs and Log Equations

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• -5
• 333.33
• 11
• 107

HINT: Take the answer choices and put in for r. See what number will make the two sides equal!!!

• r = 10

• r = 0, r = 10

• r = 6

• r= -8, r = 10

Solve

• A

• B

• C

• D

Move the 8 to the other side then move the 4 by dividing by 4. Then use base 10 to write in exponential form to solve!!!!

• -5

• 333.33

• 11

• 107

Solve!

• -5

• 333.33

• 11

• 107

Solve

• r = 10

• r = 0, r = 10

• r = 6

• r= -8, r = 10