What is log_{5}(6)+log_{5}(11) ?

The solution to log_{5}(6)+log_{5}(11) is log_{5}(66)

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simplify log_{5}(6)+log_{5}(11)

simplify

lo g_{5} (6) + lo g_{5} (11)

lo g_{5} (66)

Decimal

2.60317 \dots

Solution steps

lo g_{5} (6) + lo g_{5} (11)

Apply log rule:

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

lo g_{5} (6) + lo g_{5} (11) = lo g_{5} (6 \cdot 11)

= lo g_{5} (6 \cdot 11)

Multiply the numbers:

6 \cdot 11 = 66

= lo g_{5} (66)

lo g_{3} (\frac{27}{y})

ln (\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}})

lo g_{4} (2) + 2 lo g_{4} (5)

ln (\frac{s ^{2} + 1}{( s - 1 ) ^{2}})

ln (9) + ln (x) + ln (y)

What is log_{5}(6)+log_{5}(11) ?
The solution to log_{5}(6)+log_{5}(11) is log_{5}(66)