Alg 2 CW 3-13-25. Review for Quiz 8. Properties of Log, Equation

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSF.IF.C.8

Condense / compress:

5ln(x) - 2ln(y)

• ln(x² y⁵)

• ln(x⁵ y²)

• ln(x⁵ + y²)

• ln(x⁵ / y²)

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Expand

ln(2x³/y⁴)

• ln(2) + 3ln(x) - 4ln(y)
• ln(2) - 3ln(x) + 4ln(y)

• 3ln(2) + ln(x) - ln(y)

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Solve the following for 'x';

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• 5
• 13
• 84
• -20

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3