Expanding and Condensing Logarithms

xlog₂6

log₂x - log₂6

log₂x + log₂6

6log₂x

xlog₅8

log₅8 + log₅x

log₅8 - log₅x

8log₅x

log₆y - log₆2

log₆y + log₆2

2log₆y

ylog₆2

3log₅7x

3log₅x + log₅7

log₅7 - 3log₅x

3log₅x - log₅7

log₈6 + log₈x - 3log₈y

3log₈6 - log₈x + log₈y

log₈6 + 3log₈x - log₈y

log₈6 + 3log₈x + log₈y

log₈5^y

$$\log_8\left(\frac{y}{5}\right)$$

log₈5y

log₈y⁵

$$\log x^6$$

$$\log6x$$

$$\log\left(\frac{6}{x}\right)$$

$$\log6^x$$

log₅7x²

log₅7x

log₅7²x

$$\log_5\left(\frac{7}{x^2}\right)$$

$$\log_4\left(\frac{8}{x^5}\right)$$

$$\log_4\left(\frac{x^5}{8}\right)$$

log₄8x⁵

5log₄8x

$$\log\left(\frac{6y}{x}\right)$$

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

log6y²x⁵

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