What is log_{4}(5)+log_{4}(3) ?

The solution to log_{4}(5)+log_{4}(3) is log_{4}(15)

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simplify log_{4}(5)+log_{4}(3)

simplify

lo g_{4} (5) + lo g_{4} (3)

lo g_{4} (15)

Decimal Notation

1.95344 \dots

Solution steps

lo g_{4} (5) + lo g_{4} (3)

Apply log rule:

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

lo g_{4} (5) + lo g_{4} (3) = lo g_{4} (5 \cdot 3)

= lo g_{4} (5 \cdot 3)

Multiply the numbers:

5 \cdot 3 = 15

= lo g_{4} (15)

- (\frac{1}{6}) lo g_{2} (\frac{1}{6}) - (\frac{5}{6}) lo g_{2} (\frac{5}{6})

lo g_{4} (5) + lo g_{4} (6)

2 lo g_{5} (z) + 2 lo g_{5} (x) + 10 lo g_{5} (y)

ln (\frac{a ^{2} - x ^{2}}{x})

What is log_{4}(5)+log_{4}(3) ?
The solution to log_{4}(5)+log_{4}(3) is log_{4}(15)