What is log_{5}(4*7)+log_{5}(2) ?

The solution to log_{5}(4*7)+log_{5}(2) is log_{5}(56)

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simplify log_{5}(4*7)+log_{5}(2)

simplify

lo g_{5} (4 \cdot 7) + lo g_{5} (2)

lo g_{5} (56)

Decimal Notation

2.50109 \dots

Solution steps

lo g_{5} (4 \cdot 7) + lo g_{5} (2)

Apply log rule:

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

lo g_{5} (4 \cdot 7) + lo g_{5} (2) = lo g_{5} (4 \cdot 7 \cdot 2)

= lo g_{5} (4 \cdot 7 \cdot 2)

Multiply the numbers:

4 \cdot 7 \cdot 2 = 56

= lo g_{5} (56)

3 lo g_{10} (x^{5}) - 2 lo g_{10} (x^{4})

lo g_{10} (\frac{x ^{2} \cdot y}{3 z})

lo g_{2} (\frac{15 x ( x - 1 )}{( 3 x + 4 ) ( 2 - x )})

lo g_{5} (\frac{5 x ^{9}}{y})

What is log_{5}(4*7)+log_{5}(2) ?
The solution to log_{5}(4*7)+log_{5}(2) is log_{5}(56)