What is log_{5}(6)+log_{5}(7) ?

The solution to log_{5}(6)+log_{5}(7) is log_{5}(42)

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simplify log_{5}(6)+log_{5}(7)

simplify

lo g_{5} (6) + lo g_{5} (7)

lo g_{5} (42)

Decimal Notation

2.32234 \dots

Solution steps

lo g_{5} (6) + lo g_{5} (7)

Apply log rule:

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

lo g_{5} (6) + lo g_{5} (7) = lo g_{5} (6 \cdot 7)

= lo g_{5} (6 \cdot 7)

Multiply the numbers:

6 \cdot 7 = 42

= lo g_{5} (42)

lo g_{10} (2 x^{4})

lo g_{10} (\frac{R ^{5} S ^{4}}{2 ^{6}})

ln (y) + ln (4)

lo g_{10} (a) + 3 lo g_{10} (b) - 3

lo g_{3} (2 x) - 5 lo g_{3} (y)

What is log_{5}(6)+log_{5}(7) ?
The solution to log_{5}(6)+log_{5}(7) is log_{5}(42)