What is log_{10}(6)+4log_{10}(x) ?

The solution to log_{10}(6)+4log_{10}(x) is log_{10}(6x^4)

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simplify log_{10}(6)+4log_{10}(x)

simplify

lo g_{10} (6) + 4 lo g_{10} (x)

lo g_{10} (6 x^{4})

Solution steps

lo g_{10} (6) + 4 lo g_{10} (x)

Apply log rule:

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

4 lo g_{10} (x) = lo g_{10} (x^{4})

= lo g_{10} (6) + lo g_{10} (x^{4})

Apply log rule:

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

lo g_{10} (6) + lo g_{10} (x^{4}) = lo g_{10} (6 x^{4})

= lo g_{10} (6 x^{4})

\frac{1}{2} lo g_{3} (10)

lo g_{5} (25 x^{2})

ln (4) + ln (x) - 3 ln (2)

lo g_{10} (x) + lo g_{10} (x + 9)

\frac{4}{5} ln (2)

What is log_{10}(6)+4log_{10}(x) ?
The solution to log_{10}(6)+4log_{10}(x) is log_{10}(6x^4)