What is 4log_{10}(g)-2log_{10}(h) ?

The solution to 4log_{10}(g)-2log_{10}(h) is log_{10}((g^4)/(h^2))

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simplify 4log_{10}(g)-2log_{10}(h)

simplify

4 lo g_{10} (g) - 2 lo g_{10} (h)

lo g_{10} (\frac{g ^{4}}{h ^{2}})

Solution steps

4 lo g_{10} (g) - 2 lo g_{10} (h)

Apply log rule:

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

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

= lo g_{10} (g^{4}) - 2 lo g_{10} (h)

Apply log rule:

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

2 lo g_{10} (h) = lo g_{10} (h^{2})

= lo g_{10} (g^{4}) - lo g_{10} (h^{2})

Apply log rule:

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

lo g_{10} (g^{4}) - lo g_{10} (h^{2}) = lo g_{10} (\frac{g ^{4}}{h ^{2}})

= lo g_{10} (\frac{g ^{4}}{h ^{2}})

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What is 4log_{10}(g)-2log_{10}(h) ?
The solution to 4log_{10}(g)-2log_{10}(h) is log_{10}((g^4)/(h^2))