What is log_{7}(2)+log_{7}(5) ?

The solution to log_{7}(2)+log_{7}(5) is log_{7}(10)

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simplify log_{7}(2)+log_{7}(5)

simplify

lo g_{7} (2) + lo g_{7} (5)

lo g_{7} (10)

Decimal Notation

1.18329 \dots

Solution steps

lo g_{7} (2) + lo g_{7} (5)

Apply log rule:

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

lo g_{7} (2) + lo g_{7} (5) = lo g_{7} (2 \cdot 5)

= lo g_{7} (2 \cdot 5)

Multiply the numbers:

2 \cdot 5 = 10

= lo g_{7} (10)

ln (\frac{8}{5 x ^{5} y})

lo g_{3} (\frac{6 y}{z})

ln (\frac{e ^{6}}{7})

\frac{1}{3} lo g_{b} (x^{4} y^{5}) - \frac{3}{4} lo g_{b} (x^{2} y)

ln (\frac{89}{2})

What is log_{7}(2)+log_{7}(5) ?
The solution to log_{7}(2)+log_{7}(5) is log_{7}(10)