What is log_{10}((p^4+q)/(100)) ?

The solution to log_{10}((p^4+q)/(100)) is log_{10}(p^4+q)-2

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simplify log_{10}((p^4+q)/(100))

simplify

lo g_{10} (\frac{p ^{4} + q}{100})

lo g_{10} (p^{4} + q) - 2

Solution steps

lo g_{10} (\frac{p ^{4} + q}{100})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{p ^{4} + q}{100}) = lo g_{10} (p^{4} + q) - lo g_{10} (100)

= lo g_{10} (p^{4} + q) - lo g_{10} (100)

lo g_{10} (100) = 2

= lo g_{10} (p^{4} + q) - 2

lo g_{2} (\frac{s ^{5}}{9 t ^{2}})

lo g_{9} (\frac{1}{4}) + lo g_{3} (8)

lo g_{m} (\frac{1}{3})

5 lo g_{7} (u) + 2 lo g_{7} (v)

What is log_{10}((p^4+q)/(100)) ?
The solution to log_{10}((p^4+q)/(100)) is log_{10}(p^4+q)-2