What is log_{4}(5)+log_{4}(9) ?

The solution to log_{4}(5)+log_{4}(9) is log_{4}(45)

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simplify log_{4}(5)+log_{4}(9)

simplify

lo g_{4} (5) + lo g_{4} (9)

lo g_{4} (45)

Decimal Notation

2.74592 \dots

Solution steps

lo g_{4} (5) + lo g_{4} (9)

Apply log rule:

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

lo g_{4} (5) + lo g_{4} (9) = lo g_{4} (5 \cdot 9)

= lo g_{4} (5 \cdot 9)

Multiply the numbers:

5 \cdot 9 = 45

= lo g_{4} (45)

10 lo g_{10} (5 x)

lo g_{4} (\frac{3 x - 5}{x})

lo g_{10} (\frac{2 a ^{5}}{27})

What is log_{4}(5)+log_{4}(9) ?
The solution to log_{4}(5)+log_{4}(9) is log_{4}(45)