Properties of Logarithms

$$\log_b\left(7\right)=a$$  

$$\log_7\left(a\right)=b$$  

$$\log_7\left(b\right)=a$$  

$$\log_b\left(a\right)=7$$  

$$y^x=z$$  

$$x^z=y$$  

$$y^z=x$$  

$$z^y=x$$  

Because it would be a foot.

Pick the other option you silly goose.

$$\log\left(7\right)$$

$$\log\left(3\right)$$

$$\log\left(2.5\right)$$

$$\log\left(10\right)$$

I have my log properties nearby.

I took a deep breath.

I have desmos.com/scientific open so I can calculate some stuff.

I told someone near me what my favorite animal is.

I CAN DO THIS

$$\frac{\log\left(8\right)}{\log\left(7\right)}$$  

$$\log\left(\frac{8}{7}\right)$$  

$$\log\left(\frac{7}{8}\right)$$  

$$\frac{\log\left(7\right)}{\log\left(8\right)}$$  

$$\log\left(30\right)$$  

$$\log\left(5\right)\cdot\log\left(3\right)\cdot\log\left(2\right)$$  

$$\log\left(15\right)+\log\left(2\right)$$  

$$\log\left(5\right)+\log\left(3\right)+\log\left(2\right)$$  

$$\log\left(\frac{5^2}{6}\right)$$  

$$\log\left(11^2\right)$$  

$$\log\left(30^2\right)$$  

$$\log\left(\frac{5}{6}\right)^2$$  

$$\log\left(\frac{5^2}{6}\right)$$  

$$\log\left(11^2\right)$$  

$$\log\left(30^2\right)$$  

$$\log\left(\left(\frac{5}{6}\right)^2\right)^{ }$$  

$$3\log\left(22\right)$$  

$$\log\left(11^3\right)+\log\left(2\right)$$  

$$\log\left(11^3\cdot2\right)$$  

$$\log\left(22^3\right)$$  

$$2\log\left(x\right)+5\log\left(y\right)$$  

$$2\log\left(x\right)+10\log\left(y\right)$$  

$$10\log\left(x\right)+2\log\left(y\right)$$  

$$2\log\left(x\right)-10\log\left(y\right)$$  

$$2\log\left(x\right)+12\log\left(y\right)$$  

$$6\log\left(x\right)+2\log\left(y\right)$$  

$$12\log\left(x\right)-2\log\left(y\right)$$  

$$6\log\left(x\right)-2\log\left(y\right)$$  

$$\log\left(\left[abc\right]^2\right)$$  

$$\log\left(\frac{2a}{\frac{2b}{2c}}\right)$$  

$$\log\left(\sqrt{abc}\right)$$  

$$\log\left(a\sqrt{bc}\right)$$  

$$5\log\left(11\right)-20\log\left(6\right)$$  

$$20\log\left(11\right)-20\log\left(6\right)$$  

$$20\log\left(11\right)-5\log\left(6\right)$$  

$$5\log\left(11\right)-4\log\left(6\right)$$