What is 4log_{10}(x-6)-5log_{10}(x) ?

The solution to 4log_{10}(x-6)-5log_{10}(x) is log_{10}(((x-6)^4)/(x^5))

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simplify 4log_{10}(x-6)-5log_{10}(x)

simplify

4 lo g_{10} (x - 6) - 5 lo g_{10} (x)

lo g_{10} (\frac{( x - 6 ) ^{4}}{x ^{5}})

Solution steps

4 lo g_{10} (x - 6) - 5 lo g_{10} (x)

Apply log rule:

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

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

= lo g_{10} ((x - 6)^{4}) - 5 lo g_{10} (x)

Apply log rule:

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

5 lo g_{10} (x) = lo g_{10} (x^{5})

= lo g_{10} ((x - 6)^{4}) - lo g_{10} (x^{5})

Apply log rule:

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

lo g_{10} ((x - 6)^{4}) - lo g_{10} (x^{5}) = lo g_{10} (\frac{( x - 6 ) ^{4}}{x ^{5}})

= lo g_{10} (\frac{( x - 6 ) ^{4}}{x ^{5}})

3 (lo g_{2} (x) - 4 lo g_{2} (y)) + 2 lo g_{2} (w)

ln ∣ x + 1 ∣ - ln ∣ x + 2 ∣

ln (\frac{81 + 273}{22 + 273})

- lo g_{10} (2.85 \cdot 1 0^{12})

ln (\frac{215}{2})

What is 4log_{10}(x-6)-5log_{10}(x) ?
The solution to 4log_{10}(x-6)-5log_{10}(x) is log_{10}(((x-6)^4)/(x^5))