What is 3log_{10}(X)-4log_{10}(y) ?

The solution to 3log_{10}(X)-4log_{10}(y) is log_{10}((X^3)/(y^4))

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simplify 3log_{10}(X)-4log_{10}(y)

simplify

3 lo g_{10} (X) - 4 lo g_{10} (y)

lo g_{10} (\frac{X ^{3}}{y ^{4}})

Solution steps

3 lo g_{10} (X) - 4 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{10} (X) = lo g_{10} (X^{3})

= lo g_{10} (X^{3}) - 4 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{10} (X^{3}) - lo g_{10} (y^{4})

Apply log rule:

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

lo g_{10} (X^{3}) - lo g_{10} (y^{4}) = lo g_{10} (\frac{X ^{3}}{y ^{4}})

= lo g_{10} (\frac{X ^{3}}{y ^{4}})

ln (- 6 \cdot e^{- x})

3.36 + lo g_{10} (\frac{x}{0.5})

5 ln (2 x) + 5

ln (3.22) + ln (1 0^{- 2})

5 e^{3} + 2 ln (3 + 2) + 1 - 5 e - 2 ln (3)

What is 3log_{10}(X)-4log_{10}(y) ?
The solution to 3log_{10}(X)-4log_{10}(y) is log_{10}((X^3)/(y^4))