What is 6log_{10}(q)+log_{10}(x) ?

The solution to 6log_{10}(q)+log_{10}(x) is log_{10}(q^6x)

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simplify 6log_{10}(q)+log_{10}(x)

simplify

6 lo g_{10} (q) + lo g_{10} (x)

lo g_{10} (q^{6} x)

Solution steps

6 lo g_{10} (q) + lo g_{10} (x)

Apply log rule:

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

6 lo g_{10} (q) = lo g_{10} (q^{6})

= lo g_{10} (q^{6}) + lo g_{10} (x)

Apply log rule:

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

lo g_{10} (q^{6}) + lo g_{10} (x) = lo g_{10} (q^{6} x)

= lo g_{10} (q^{6} x)

ln (\frac{0.8}{2})

lo g_{b} (5 x y)

\frac{1}{2} lo g_{10} (a) + 5 lo g_{10} (b)

lo g_{10} (7 x^{3} y)

lo g_{10} (\frac{y}{1000})

What is 6log_{10}(q)+log_{10}(x) ?
The solution to 6log_{10}(q)+log_{10}(x) is log_{10}(q^6x)