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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

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

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

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

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

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

\frac{lo g _{4} ( t - 4 ) + lo g _{4} ( 2 t ^{2} - 7 t - 4 )}{2}

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

lo g_{2} (5 \cdot 6 \cdot 3)

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