Logarithmic Exponential and Other Transcendental Functions

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

log₅25 = ?

• 2

• 5

• 125

• 10

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))

• log₂(x³yz)

• log₂(x³z/y)

• log₂(x³/(yz))

Expand completely: log(2x⁵) 

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

Is this exponential growth or decay?

• Growth

• Decay

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

• y=(2)^x

• y=2(3)^x

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Find the domain and range of:
f(x) = log₂(x)

• D: all real numbers
  R: y > 0

• Domain: all real numbers
  Range: all real numbers

• Domain: x > 0
  Range: all real numbers

• Domain: all real numbers
  Range: y < 0

Expand:

• 
• 
• 
•