What is log_{10}(y/(sqrt(x)))e^4 ?

The solution to log_{10}(y/(sqrt(x)))e^4 is (log_{10}(y)-log_{10}(sqrt(x)))e^4

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simplify log_{10}(y/(sqrt(x)))e^4

simplify

lo g_{10} (\frac{y}{x}) e^{4}

(lo g_{10} (y) - lo g_{10} (x)) e^{4}

Solution steps

lo g_{10} (\frac{y}{x}) e^{4}

Apply log rule:

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

lo g_{10} (\frac{y}{x}) = lo g_{10} (y) - lo g_{10} (x)

= e^{4} (lo g_{10} (y) - lo g_{10} (x))

- lo g_{10} (1.2 \cdot 1 0^{- 6})

ln (8.2) - ln (7.5)

ln (0.69 \cdot 1 0^{3})

2 ln (7) - 3 ln (4)

lo g_{\frac{7}{10}} (- 2 x) + 6

What is log_{10}(y/(sqrt(x)))e^4 ?
The solution to log_{10}(y/(sqrt(x)))e^4 is (log_{10}(y)-log_{10}(sqrt(x)))e^4