What is log_{5}(40)+log_{5}(8) ?

The solution to log_{5}(40)+log_{5}(8) is log_{5}(320)

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simplify log_{5}(40)+log_{5}(8)

simplify

lo g_{5} (40) + lo g_{5} (8)

lo g_{5} (320)

Decimal Notation

3.58405 \dots

Solution steps

lo g_{5} (40) + lo g_{5} (8)

Apply log rule:

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

lo g_{5} (40) + lo g_{5} (8) = lo g_{5} (40 \cdot 8)

= lo g_{5} (40 \cdot 8)

Multiply the numbers:

40 \cdot 8 = 320

= lo g_{5} (320)

lo g_{10} (\frac{a \cdot b}{c})

lo g_{2} (7) + lo g_{2} (x) - lo g_{2} (7)

lo g_{10} (\frac{y}{2})

ln (6 x)

lo g_{10} (\frac{x ^{5}}{y ^{9} z})

What is log_{5}(40)+log_{5}(8) ?
The solution to log_{5}(40)+log_{5}(8) is log_{5}(320)