Exp and Log Review

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

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

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

Condense:
 log4- logx- log5+log3

• log(20/3x)
• log(12x/5)
• log(12/5x)
• log(5x/12)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

Solve

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

• 2

• 3

• 2/3

• 4

Simplify (evaluate): -2 ln e⁵

• 1/10

• 1/32

• -32

• -10

• 1/25

evaluate: ln 1 =

• e

• 0

• 1/e

• cannot be answered without a calculator

evaluate: log₈8²

• -2

• 2

• 16

• 64

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• 8 = 5x + 7

• 2³ = 5x + 7

• 2³ = 2^{5x + 7}

• none of these

Which equation leads to the solution of

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

• 2x = 25

• x² = 25

• x + x = 25

• none of these

Which equation leads to the solution of

log (x −1) − log (x − 2) = log 5 ?

• (x−1)(x−2) = 5

• (x−1) − (x−2) = 5

• $\frac{x-1}{x-2}\ =\ 5$

• $\frac{x-2}{x-1}=5$