Solving Exponents with Logs

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

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 

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

What will you type in the calculator when you solve the following equation? 2.8^x = 41

Mathematical Equivalence

ON

What will you type in the calculator when you solve the following equation? 2.8^x = 41

Mathematical Equivalence

ON

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

• 2.2757

• 1.3592

• 0.7586

• 0.5903

Solve for x.

8e^x+1 = 40

• 0.61

• 2.6

• No Solution

• -1.61

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)