What is log_{10}(c)-6log_{10}(d) ?

The solution to log_{10}(c)-6log_{10}(d) is log_{10}(c/(d^6))

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simplify log_{10}(c)-6log_{10}(d)

simplify

lo g_{10} (c) - 6 lo g_{10} (d)

lo g_{10} (\frac{c}{d ^{6}})

Solution steps

lo g_{10} (c) - 6 lo g_{10} (d)

Apply log rule:

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

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

= lo g_{10} (c) - lo g_{10} (d^{6})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (c) - lo g_{10} (d^{6}) = lo g_{10} (\frac{c}{d ^{6}})

= lo g_{10} (\frac{c}{d ^{6}})

ln (x^{2}) + ln (y^{2})

lo g_{10} (\frac{u ^{4}}{v})

lo g_{b} (10) + lo g_{b} (7)

lo g_{2} (\frac{e ^{2}}{4})

ln (2 x + 1) + ln (x - 1) - 2 ln (x)

What is log_{10}(c)-6log_{10}(d) ?
The solution to log_{10}(c)-6log_{10}(d) is log_{10}(c/(d^6))