Module 5 T2 L2 2.2 Properties of Log

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• A
• B
• C
• D

Write log_b(xy) as two logs

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

Simplify:  $\log_73+\log_76$  

•  $\log_79$  

•  $\log_7\left(\frac{1}{2}\right)$  

•  $\log_718$  

•  $\log_7729$  

Rewrite log_b(xⁿ)

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

Write log_b(x/y) as two logs

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

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Expand:  $\log\ ab$  

•  $\log a\ -\ \log b$  

•  $b\log a$  

•  $a\log b$  

•  $\log a+\log b$  

• Product property

• Quotient property

• Power property

• Change of Base Property

Mathematical Equivalence

ON