What is log_{10}((R^5S^4)/(Z^6)) ?

The solution to log_{10}((R^5S^4)/(Z^6)) is 5log_{10}(R)+4log_{10}(S)-6log_{10}(Z)

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simplify log_{10}((R^5S^4)/(Z^6))

simplify

lo g_{10} (\frac{R ^{5} S ^{4}}{Z ^{6}})

5 lo g_{10} (R) + 4 lo g_{10} (S) - 6 lo g_{10} (Z)

Solution steps

lo g_{10} (\frac{R ^{5} S ^{4}}{Z ^{6}})

Apply log rule:

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

lo g_{10} (\frac{R ^{5} S ^{4}}{Z ^{6}}) = lo g_{10} (R^{5} S^{4}) - lo g_{10} (Z^{6})

= lo g_{10} (R^{5} S^{4}) - lo g_{10} (Z^{6})

lo g_{10} (R^{5} S^{4}) = 5 lo g_{10} (R) + 4 lo g_{10} (S)

lo g_{10} (Z^{6}) = 6 lo g_{10} (Z)

= 5 lo g_{10} (R) + 4 lo g_{10} (S) - 6 lo g_{10} (Z)

- lo g_{10} (3.5 \cdot 1 0^{- 4})

8 lo g_{8} (6 x)

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

lo g_{10} (9 x)

lo g_{10} (\frac{7 x}{3})

What is log_{10}((R^5S^4)/(Z^6)) ?
The solution to log_{10}((R^5S^4)/(Z^6)) is 5log_{10}(R)+4log_{10}(S)-6log_{10}(Z)