What is log_{4}(3)+log_{4}(10) ?

The solution to log_{4}(3)+log_{4}(10) is log_{4}(30)

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simplify log_{4}(3)+log_{4}(10)

simplify

lo g_{4} (3) + lo g_{4} (10)

lo g_{4} (30)

Decimal Notation

2.45344 \dots

Solution steps

lo g_{4} (3) + lo g_{4} (10)

Apply log rule:

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

lo g_{4} (3) + lo g_{4} (10) = lo g_{4} (3 \cdot 10)

= lo g_{4} (3 \cdot 10)

Multiply the numbers:

3 \cdot 10 = 30

= lo g_{4} (30)

\frac{- 4 ln ( 2 ) - 7 ln ( 7 )}{5 ln ( 7 ) - ln ( 2 )}

ln (\frac{A}{B})

lo g_{9} (x) + lo g_{9} (x + 8)

lo g_{10} (x^{9} z)

- lo g_{10} (6.4 \times 1 0^{- 5})

What is log_{4}(3)+log_{4}(10) ?
The solution to log_{4}(3)+log_{4}(10) is log_{4}(30)