Unit 7.4 B HW: Properties of Logarithms

Condense into a single logarithm. Then simplify if possible.

log 6 - log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45

Condense

• A
• B
• C
• D

The common logarithm has what base?

• 10
• 0
• e
• -e

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)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

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

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Tags

CCSS.HSF.BF.B.5

Expand the logarithm.
 $\log\frac{x}{y^6}$  

•  $\log x+6\log y$  
  

•  $\log x-6\log y$  
  

•  $\log x+\log6y$  
  

•  $\log x-\log6y$  
  

Expand the logarithm.
 $\log\left(a\cdot b\right)^2$  

•  $2\log a+\log b$  
  

•  $\log a^2+\log b^2$  
  

•  $\log2a+\log2b$  
  

•  $2\log a+2\log b$