(5/5) - U8L5 - Logarithm Properties - Contract

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• $\log xyz^3$

• $\log_{ }\left(\frac{xy}{z^3}\right)$

• $\log x+\log y+\log z^3$

• $\log x^3y^3z^3$

Write as a single logarithm.
 $16\log u+4\log v$  

• log(v⁴u¹⁶)

• log(v⁴u⁴)

• log(vuw⁴)

Write as a single logarithm:
 $\log(30)-\log(6)$  

•  $-6\log(30)$  

•  $\log(24)$  

•  $24$  

•  $\log(5)$  

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand  $\log_6\left(\frac{5x^3}{y}\right)$  

• log₆5x³ - log₆y

• log₆5 + log₆x³ - log₆y

• log₆5 + 3log₆x - log₆y

Write as a single log:  $\log12+2\log x$  

•  $\log(12+2x)$  

•  $\log(14x)$  

•  $\log(12\cdot2x)$  

•  $\log(12x^2)$  

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• $\log(a^5+b^{25})$

• $\log(a^5−b^{25})$

• $\log(ab^{25})$

• $\log\frac{a^5}{b^{25}}$