Algebra 2 Logarithm Review

Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

Expand: log₃(5x²y³⁾

• log₃5x² +log₃y³

• log₃5+log₃x² +log₃y³

• log₃5log₃x²log₃y³

• log₃5+2log₃x +3log₃y

log₂x-log₂y-log₂z

• log₂(xz/y)

• log₂(x/yz)

• log₂(xyz)

• log₂(xy/z)

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

• x = -1

• x = 1

• x = 3

• x = ⅓

Tags

CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm

Tags

CCSS.HSF.BF.B.5

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

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

• 4.965

• 4.17

• 3.408

• 2.212

Solve the equation.

• 4

• 10

• -2

• -6

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by