Solve Exponential Equations Requiring Logs

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

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

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

Solve for x using logs: 6^3x - 3 = 56

• 2.2757

• 1.3592

• 0.7586

• 0.5903

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

Solve for x.

8e^x+1 = 40

• 0.61

• 2.6

• No Solution

• -1.61

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

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

• 7

• 4/9

• 9/4

• 1/7

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01