Properties of Logarithms

$$\log\ \left(a^5+b^{25}\right)$$  

$$\log\ \left(a^5-b^{25}\right)$$  

$$\log\ \left(ab\right)^{25}$$  

$$\log_{ }\ \left(\frac{a^5}{b^{25}}\right)$$  

$$\log_{ }\ x^3y^4z$$  

$$12\log_{ }\ xyz$$  

$$\log_{ }\ 3x4yz$$  

$$\log_49$$  

$$\log_4\left(2x-1\right)$$  

$$\log_4\left(x^2-x-20\right)$$  

$$\log_4\left(\frac{x+4}{x-5}\right)$$  

$$\log_3\left(22x\right)$$  

$$\log_3\left(121x\right)$$  

$$\log_3\left(121x^2\right)$$  

$$\log_3\left(11x^2\right)$$  

$$\log_5\left(4x^3\right)$$  

$$\log_5\left(2x^3\right)$$  

$$\log_5\left(6x\right)$$  

$$\log_5\left(\frac{2}{x^3}\right)$$  

$$\log_221$$  

$$\log_210$$  

$$\log_2\left(\frac{3}{7}\right)$$  

$$\log_244.75$$  

$$\log_9\left(32x\right)$$  

$$\log_9\left(8x\right)$$  

$$\log_9\left(\frac{8}{x}\right)$$  

$$\log_98x$$   

$$\log_{ }x+4\log_{ }y\ +\log_{ }z$$  

$$3\log_{ }x-4\log_{ }y\ -\log_{ }z$$  

$$3\log_{ }x+4\log_{ }y\ +\log_{ }z$$  

$$3\log_{ }x-4\log_{ }y\ +\log_{ }z$$  

$$\log x+6\log y$$  

$$\log x-6\log y$$  

$$\log x+\log6y$$  

$$\log x-\log6y$$