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

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

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

simplify

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

lo g_{4} (15)

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

3 \cdot 5 = 15

= lo g_{4} (15)

lo g_{3} (x y)

lo g_{7} (3 x)

ln (\frac{x}{x - 6}) + ln (\frac{x + 6}{x}) - ln (x^{2} - 36)

ln (\frac{x}{x + 1})

lo g_{10} (x) - \frac{1}{2} lo g_{10} (y) + 7 lo g_{10} (z)

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