Test Review: Logs and Exps

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Given log₂(x + 5) = 3 the first step to solve this equation is

• 2³ = x + 5

• 3² = x + 5

• 2^x = 3 - 5

• none of these

Tags

CCSS.HSF.BF.B.5

Condense:

log4 − logx − log5+log3

• 
  

  $\log\left(\frac{20}{3x}\right)$

• $\log\left(\frac{12x}{5}\right)$

• $\log\left(\frac{12}{5x}\right)$

• $\log\left(\frac{5x}{12}\right)$

Solve

2³ⁿ = 4 by re-writing as 2³ⁿ = 2² then n =

• 2

• 3

• 2/3

• 4

Simplify (evaluate):  $-2\log_4\left(4\right)^5$  

• 
  

   $\frac{1}{10}$  

• -40

• -32

• -10

 $4\log_3\sqrt{3}$  

evaluate:

• -2

• 2

• 16

• 64

The first step to solve 8 = 2^5x+7 is

• 8 = 5x + 7

• 2³ = 5x + 7

• 2³ = 2^{5x + 7}

• none of these

Solve 8 = 2^5x+7

• x = ⅘

• x = ¼

• x = -⅘

• x = -¼

Tags

CCSS.7.EE.B.4A

Which equation leads to the solution of

log (x) + log (x) = log (25) is

• 2x = 25

• x² = 25

• x + x = 25

• none of these

log (x) + log (x) = log (25) and x² = 25 have the same solutions.

• True, both 5 and -5

• False, -5 does not work for the log equation