What is 3log_{10}(d)+log_{10}(g) ?

The solution to 3log_{10}(d)+log_{10}(g) is log_{10}(d^3g)

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simplify 3log_{10}(d)+log_{10}(g)

simplify

3 lo g_{10} (d) + lo g_{10} (g)

lo g_{10} (d^{3} g)

Solution steps

3 lo g_{10} (d) + lo g_{10} (g)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{10} (d) = lo g_{10} (d^{3})

= lo g_{10} (d^{3}) + lo g_{10} (g)

Apply log rule:

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

lo g_{10} (d^{3}) + lo g_{10} (g) = lo g_{10} (d^{3} g)

= lo g_{10} (d^{3} g)

lo g_{5} (x^{2} - 6 x - 7) - lo g_{5} (x + 1)

lo g_{10} (x x^{2} + 1)

ln (\frac{x ^{2} ( 1 + x ^{2} ) ^{2}}{( 1 - x ^{2} ) ^{2}})

lo g_{6} (9) - lo g_{6} (4)

What is 3log_{10}(d)+log_{10}(g) ?
The solution to 3log_{10}(d)+log_{10}(g) is log_{10}(d^3g)