Review for 7-4

Evaluate b^log_b(x)

• x
• b
• 1
• 0

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

Rewrite log_b(xⁿ)

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

Expand the following logarithm: 
log₂ (5xy )

• log₂ 5 + log₂ x - log₂ y 
• log₂ 5 + log₂ x + log₂ y 
• log₂ 5 - log₂ x + log₂ y 
• log₂ 5 + log₂ xy

Condense the following logarithm: log₄ z – log₄ y 

• log₄ z/y
• log₄ zy
• log₄ z^y
• log_z 4/y

Condense the following logarithm: 
6 log₂ 2 – 6 log₂ x 

• log₂ (64/x⁶)
• log₂ (2/x)
• log₂ 64
• log₂ (12x)

Condense the following logarithm: 2 log₂ x 

• log₂ x²
• log₂ x + 2
• log₂ 2x
• log 2x

Condense the following logarithm: 
3 log₂ x + 2 log₂ y – 4 log₂ z 

• log₂ x³y²∕z⁴
• log₂ x³y²z⁴
• log₂ xyz⁹
• 9log₂ xyz

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8