Solving Log Equations (properties required)

EXPAND the log

CONDENSE the log

$$\log M\ =\ \log N,\ M=N$$  

$$\log\ MN\ =\ \log M+\log N$$  

$$\log\frac{M}{N}=\log M-\log N$$  

$$\log M^k=k\cdot\log M$$  

  $$10+\log_3x=17$$  

  $$2-5\log_3x=17$$  

  $$2+5\log_3x=17$$  

EXPAND the log

CONDENSE the log

$$\log M\ =\ \log N,\ M=N$$  

$$\log\ MN\ =\ \log M+\log N$$  

$$\log\frac{M}{N}=\log M-\log N$$  

$$\log M^k=k\cdot\log M$$  

  $$\log_22x=5$$  

  $$\log_218x=5$$  

  $$\log_23x=5$$  

EXPAND the log

CONDENSE the log

$$\log M\ =\ \log N,\ M=N$$  

$$\log\ MN\ =\ \log M+\log N$$  

$$\log\frac{M}{N}=\log M-\log N$$  

$$\log M^k=k\cdot\log M$$