What is log_{7}(5)+3log_{7}(x)-6log_{7}(y) ?

The solution to log_{7}(5)+3log_{7}(x)-6log_{7}(y) is log_{7}((5x^3)/(y^6))

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simplify log_{7}(5)+3log_{7}(x)-6log_{7}(y)

simplify

lo g_{7} (5) + 3 lo g_{7} (x) - 6 lo g_{7} (y)

lo g_{7} (\frac{5 x ^{3}}{y ^{6}})

Solution steps

lo g_{7} (5) + 3 lo g_{7} (x) - 6 lo g_{7} (y)

Apply log rule:

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

3 lo g_{7} (x) = lo g_{7} (x^{3})

= lo g_{7} (5) + lo g_{7} (x^{3}) - 6 lo g_{7} (y)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{7} (5) + lo g_{7} (x^{3}) = lo g_{7} (5 x^{3})

= lo g_{7} (5 x^{3}) - 6 lo g_{7} (y)

Apply log rule:

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

6 lo g_{7} (y) = lo g_{7} (y^{6})

= lo g_{7} (5 x^{3}) - lo g_{7} (y^{6})

Apply log rule:

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

lo g_{7} (5 x^{3}) - lo g_{7} (y^{6}) = lo g_{7} (\frac{5 x ^{3}}{y ^{6}})

= lo g_{7} (\frac{5 x ^{3}}{y ^{6}})

ln (\frac{1}{x} e^{\frac{- y}{x}})

- 10 ln (\frac{91.2 - 70}{98.6 - 70})

- lo g_{10} (7.3 \cdot 1 0^{- 4})

51 - 40 - 40 ln (\frac{47}{40})

3 lo g_{6} (z) + 2 (lo g_{6} (x) - 2 lo g_{6} (y))

What is log_{7}(5)+3log_{7}(x)-6log_{7}(y) ?
The solution to log_{7}(5)+3log_{7}(x)-6log_{7}(y) is log_{7}((5x^3)/(y^6))