Logs Test Review

 $\log_4x$  lies entirely in quadrants

• I and II

• II and III

• III and IV

• I and IV

The inverse of an exponential graph becomes a logarithmic grpah by which of the following trasformtains?

• reflection in the line y=x

• reflection in the origin

• rotation of 90 degrees

• reflection in the y-axis

log (a * b) = ?

• log a * log b

• log a + log b

• log a - log b

• a*log b

Tags

CCSS.HSF.BF.B.5

log (a² * b) = ?

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Tags

CCSS.HSF.BF.B.5

Expand log(x²/y³).  Choose the best answer.

• log x²+log y³
• 2 log x + 3 log y
• log x + log y
• 2log x² +3 logy³

Tags

CCSS.HSF.LE.A.4

Find the domain and range of:
f(x) = 5^x

• D: (-∞, ∞)
  R: (0, ∞)
• D: (-∞, ∞)
  R: (-∞, ∞)
• D: (0, ∞)
  R: (-∞, ∞)
• D: (-∞, 0)
  R: (-∞, ∞)

Find the inverse function:
f(x) = 5^x

• f ^-1(x) = log₅(x)
• f ^-1(x) = log_x(5)
• f ^-1(x) = 5^x
• f ^-1(x) = x⁵

Tags

CCSS.HSF-BF.B.4A

Find the inverse function:
f(x) = log₂(x)

• f ^-1(x) = log₂(x)
• f ^-1(x) = log_x(2)
• f ^-1(x) = 2^x
• f ^-1(x) = x²

Tags

CCSS.HSF-BF.B.4A

Two graphs are inverses if they reflect over which line?

• x=0

• y=0

• y=x

• the vertex

Tags

CCSS.HSF-BF.B.4C