What is log_{10}((x^5+y)/(1000)) ?

The solution to log_{10}((x^5+y)/(1000)) is log_{10}(x^5+y)-3

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simplify log_{10}((x^5+y)/(1000))

simplify

lo g_{10} (\frac{x ^{5} + y}{1000})

lo g_{10} (x^{5} + y) - 3

Solution steps

lo g_{10} (\frac{x ^{5} + y}{1000})

Apply log rule:

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

lo g_{10} (\frac{x ^{5} + y}{1000}) = lo g_{10} (x^{5} + y) - lo g_{10} (1000)

= lo g_{10} (x^{5} + y) - lo g_{10} (1000)

lo g_{10} (1000) = 3

= lo g_{10} (x^{5} + y) - 3

lo g_{3} (x^{2} y^{2})

ln (a^{\frac{3}{2}} b^{\frac{1}{2}}) - 1

ln (6 e^{x})

lo g_{2} (x) + lo g_{2} (16) + 3 lo g_{2} (\frac{1}{2})

lo g_{7} (\frac{5 z}{6})

What is log_{10}((x^5+y)/(1000)) ?
The solution to log_{10}((x^5+y)/(1000)) is log_{10}(x^5+y)-3