What is log_{7}(2)+log_{7}(11) ?

The solution to log_{7}(2)+log_{7}(11) is log_{7}(22)

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simplify log_{7}(2)+log_{7}(11)

simplify

lo g_{7} (2) + lo g_{7} (11)

lo g_{7} (22)

Decimal Notation

1.58848 \dots

Solution steps

lo g_{7} (2) + lo g_{7} (11)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{7} (2) + lo g_{7} (11) = lo g_{7} (2 \cdot 11)

= lo g_{7} (2 \cdot 11)

Multiply the numbers:

2 \cdot 11 = 22

= lo g_{7} (22)

lo g_{10} (\frac{x ^{3}}{z ^{2} y})

ln (\frac{0.85}{1.7})

3 lo g_{a} (7 x^{6}) - \frac{1}{8} lo g_{a} (5 x + 19)

lo g_{\frac{a}{b}} (\frac{b}{a})

ln (\frac{8}{13})

What is log_{7}(2)+log_{7}(11) ?
The solution to log_{7}(2)+log_{7}(11) is log_{7}(22)