What is expand log_{5}(35*15) ?

The solution to expand log_{5}(35*15) is log_{5}(35)+log_{5}(15)

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expand log_{5}(35*15)

expand

lo g_{5} (35 \cdot 15)

lo g_{5} (35) + lo g_{5} (15)

Decimal Notation

3.89166 \dots

Solution steps

lo g_{5} (35 \cdot 15)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{5} (35 \cdot 15) = lo g_{5} (35) + lo g_{5} (15)

= lo g_{5} (35) + lo g_{5} (15)

lo g_{3} (\frac{27 b ^{3} y ^{2} - 6}{y ( x + 6 ) ^{2}})

lo g_{a} (u^{7} v^{2})

lo g_{4} (\frac{k ^{2} - 16}{4 k})

lo g_{2} (\frac{y - w}{v})

lo g_{10} (\frac{1000}{c ^{4} + 2})

What is expand log_{5}(35*15) ?
The solution to expand log_{5}(35*15) is log_{5}(35)+log_{5}(15)