What is log_{4}(9)+log_{4}(6) ?

The solution to log_{4}(9)+log_{4}(6) is log_{4}(54)

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simplify log_{4}(9)+log_{4}(6)

simplify

lo g_{4} (9) + lo g_{4} (6)

lo g_{4} (54)

Decimal Notation

2.87744 \dots

Solution steps

lo g_{4} (9) + lo g_{4} (6)

Apply log rule:

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

lo g_{4} (9) + lo g_{4} (6) = lo g_{4} (9 \cdot 6)

= lo g_{4} (9 \cdot 6)

Multiply the numbers:

9 \cdot 6 = 54

= lo g_{4} (54)

3 ln (x) + 4 ln (y) - 6 ln (z)

lo g_{6} (6 x)

ln (\frac{5}{13})

lo g_{b} (\frac{x ^{3} y}{z ^{4}})

lo g_{9} (5 x)

What is log_{4}(9)+log_{4}(6) ?
The solution to log_{4}(9)+log_{4}(6) is log_{4}(54)