What is log_{4}(5)+log_{4}(6) ?

The solution to log_{4}(5)+log_{4}(6) is log_{4}(30)

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simplify log_{4}(5)+log_{4}(6)

simplify

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

lo g_{4} (30)

Decimal Notation

2.45344 \dots

Solution steps

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

Apply log rule:

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

lo g_{4} (5) + lo g_{4} (6) = lo g_{4} (5 \cdot 6)

= lo g_{4} (5 \cdot 6)

Multiply the numbers:

5 \cdot 6 = 30

= lo g_{4} (30)

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

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

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

lo g_{10} (\frac{a ^{3} b ^{2}}{c ^{4}})

What is log_{4}(5)+log_{4}(6) ?
The solution to log_{4}(5)+log_{4}(6) is log_{4}(30)