Laws of Logarithms

Simplify log(12) + log (6)

• log(72)
• log(18)
• log(6)
• log(2)

Tags

CCSS.HSA.SSE.B.3

Simplify: log(3) + 2log(5)

• log(75)
• 2log(15)
• log(30)
• log(13)

Simplify: log(24) - log(8)

• log(3)
• log(16)
• 4log(2)
• -log(32)

Tags

CCSS.HSF.BF.B.5

Simplify: log(16) - 3log(2)

• log(2)
• log(10)
• -3log(8)
• 3log(14)

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)
• log(5xy)
• 5log(x²y)
• log(6x²y)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Simplify: 3log(xy) - 2log(x)

• log(xy³)
• log(y)
• 1.5log(x²y)
• Can't be simplified

What is the most simple answer possible:
log_x(x³y) - log_x(xy)

• log_x(x²)
• 2
• log_x(x⁴-y²)
• x

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 
• log₂ 5 + log₂ x 
• 2log 5 + 2log x
• log5 2 + log_x 2

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8