Write the logarithm in exponential form:

$$\log_ba=x$$

Evaluate the logarithm using the change of base formula: (round to two decimal places)

$$\log_512$$

Use the properties of logs to compress the expression:

$$2\cdot\log_4x+4\cdot\log_4x$$

Use the Properties of logarithms to compress the expression:

$$\log\left(x+1\right)-\log\left(x\right)+\log\left(x-1\right)$$

Use the properties of logarithms to compress the expression:

$$2\cdot\ln4-\frac{1}{2}\left(\ln27-\ln3\right)$$

Use the properties of logarithms to expand the expression completely:

$$\log_2\left(x^2+2x+1\right)$$

Use the properties of logarithms to expand the expression completely:

$$\log\left(\frac{3x^3}{5}\right)$$

Use the properties of logarithms to expand the expression completely:

$$\log_6\left(\frac{2x^2-5x-3}{\sqrt[3]{12x}}\right)$$