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Logarithms Identities Formulas Revision

Click the option on the left followed by your answer on the right

1

$$$\log_{a}{1}$$$

$$$0$$$

2

$$$\log_{a}{xy}$$$

$$$\log_{a}{x}+\log_{a}{y}$$$

3

$$$\log_{a}{b}^{c}$$$

$$$c \log_{a}{b}$$$

4

$$${b}^{\log_{b}{x}}$$$

$$$x$$$

5

$$${x}^{\log_{b}{y}}$$$

$$${y}^{\log_{b}{x}} $$$

6

$$${\log_{a}{\sqrt[n]{b}}}$$$

$$$\frac{\log_{a}{b}}{n} $$$

7

$$${\log_{a}{b}}$$$

$$$\frac{\log_{c}{b}}{\log_{c}{a}}$$$

8

$$${\log_{a}{b}}*{\log_{b}{a}}$$$

$$$1$$$

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