Logarithms Assessment

Write  5² = 25  in logarithmic  form

• log₅   2 = 25
• log₅   25  =  2
• log₂  25  = 5
• No Correct Answer

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25
• -2^0.25  = 2
• 2^-2  = 0.25
• No correct answer

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Which of the following represent the  a change of base for log_x y using the natural log?

• ln x / ln y
• ln y / ln x
• log x / log y
• log y / log x

Expand log x √(y)

• log x + 1/2 log y
• 1/2 log x + 1/2 log y
• log x - 1/2 log y
• log x + 2 log y

Write 2 log x  - log y as a single logarithm

• log x²  y
• log x²  y²
• log x²/y
• log (x / y)²

Find the value for x to the third decimal place: ln x = 5

• 148.413
• 13.591
• 100000
• 1.610

Find the value for x to the third decimal place: 10^x =20

• 2
• 1.301
• 0.5
• No Correct Answer

Expand ln xy²z³

• 6(lnx + lny - lnz)
• lnx + 2lny - 3lnz
• lnx + (1/2)lny + (1/3)lnz
• lnx + 2lny + 3lnz

Write
 log x  - (1/3)log y - (1/2)log z²
as a single logarithm

• log (x / y³z⁴)
• log (x / y³z)
• log (x / (∛y)z))
• No Correct Answer