What is log_{4}(12)+log_{4}(7) ?

The solution to log_{4}(12)+log_{4}(7) is log_{4}(84)

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simplify log_{4}(12)+log_{4}(7)

simplify

lo g_{4} (12) + lo g_{4} (7)

lo g_{4} (84)

Decimal Notation

3.19615 \dots

Solution steps

lo g_{4} (12) + lo g_{4} (7)

Apply log rule:

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

lo g_{4} (12) + lo g_{4} (7) = lo g_{4} (12 \cdot 7)

= lo g_{4} (12 \cdot 7)

Multiply the numbers:

12 \cdot 7 = 84

= lo g_{4} (84)

lo g_{9} (\frac{y}{81})

2 ln (3) - ln (x - 1) + 3 ln (x)

lo g_{4} (\frac{16}{x})

What is log_{4}(12)+log_{4}(7) ?
The solution to log_{4}(12)+log_{4}(7) is log_{4}(84)