Feb 22 and 23 Class work Properties of Logarithm

Write log_b(xy) as two logs

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Log with a base "e" (log_e) is the same thing as...

• "10"

• Natural Logarithm (ln)

• Common Logarithm (Log)

• Natural Log, base "n"

  ln_e

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Simplify 8^log₈^x

• 0

• 1

• x

• 8

Simplify 7^log₇(2x)

• 0
• 2x
• 2
• 1

Tags

CCSS.HSF.BF.B.5

Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

Expand.

• 1/3 log x + log y + log z

• 1/3 log x + 1/3 log y + 1/3 log z

• 1/3 log x - 1/3 log y - 1/3 log z

• 3 log x + 3 log y + 3 log z

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

• A

• B

• C

• D