What is log_{5}(8)+log_{5}(11) ?

The solution to log_{5}(8)+log_{5}(11) is log_{5}(88)

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simplify log_{5}(8)+log_{5}(11)

simplify

lo g_{5} (8) + lo g_{5} (11)

lo g_{5} (88)

Decimal Notation

2.78192 \dots

Solution steps

lo g_{5} (8) + lo g_{5} (11)

Apply log rule:

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

lo g_{5} (8) + lo g_{5} (11) = lo g_{5} (8 \cdot 11)

= lo g_{5} (8 \cdot 11)

Multiply the numbers:

8 \cdot 11 = 88

= lo g_{5} (88)

2 lo g_{10} (m) + 3 lo g_{10} (n) - 4 lo g_{10} (y)

lo g_{10} (\frac{100}{x \cdot y ^{4}})

3 lo g_{3} (N) + lo g_{3} (M) - 3 lo g_{3} (L)

ln (\frac{y}{x}) + ln (x)

lo g_{4} (\frac{1}{4} x)

What is log_{5}(8)+log_{5}(11) ?
The solution to log_{5}(8)+log_{5}(11) is log_{5}(88)