Solving Exponential Equations with Logs Exact Answers

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

Q1. What is the value of x?

• -5

• 333.33

• 11

• 107

Solve

• A

• B

• C

• D

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

• r = 10

• r = 0, r = 10

• r = 6

• r= -8, r = 10

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 for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7