laws of logarithms

The inverse function of an exponential function is known as a...?

• quadratic function
• square root function
• absolute value function
• logarithmic function

Tags

CCSS.HSF-BF.B.4A

Write log_b(xy) as two logs

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

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)

Rewrite the equation in exponential form:
 log_vn = a

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

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

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.2

Expand

• A
• B
• C
• D

Using the change of base rule, what is this logarithm equivalent to?

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Condense

• A
• B
• C
• D