What is 4log_{10}(d)-5log_{10}(q) ?

The solution to 4log_{10}(d)-5log_{10}(q) is log_{10}((d^4)/(q^5))

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simplify 4log_{10}(d)-5log_{10}(q)

simplify

4 lo g_{10} (d) - 5 lo g_{10} (q)

lo g_{10} (\frac{d ^{4}}{q ^{5}})

Solution steps

4 lo g_{10} (d) - 5 lo g_{10} (q)

Apply log rule:

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

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

= lo g_{10} (d^{4}) - 5 lo g_{10} (q)

Apply log rule:

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

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

= lo g_{10} (d^{4}) - lo g_{10} (q^{5})

Apply log rule:

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

lo g_{10} (d^{4}) - lo g_{10} (q^{5}) = lo g_{10} (\frac{d ^{4}}{q ^{5}})

= lo g_{10} (\frac{d ^{4}}{q ^{5}})

ln (x^{7} 4 - x)

lo g_{5} (x - 1) + lo g_{5} (x - 2) - lo g_{5} (x + 6)

4 lo g_{7} (x) - 2 lo g_{7} (y) - 2 lo g_{7} (z)

lo g_{10} (3 x) + 7

2 (lo g_{7} (x) + 2 lo g_{7} (y) - 3 lo g_{7} (z))

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