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

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

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

simplify

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

lo g_{7} (10)

Decimal Notation

1.18329 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

5 \cdot 2 = 10

= lo g_{7} (10)

ln (\frac{2 ^{- 4}}{3 ^{- 1} 5 ^{- 4}})

ln (x^{2}) + 2 ln (x)

3 ln (x) - \frac{1}{4} ln (y)

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