What is 6log_{2}(x)-7log_{2}(y) ?

The solution to 6log_{2}(x)-7log_{2}(y) is log_{2}((x^6)/(y^7))

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simplify 6log_{2}(x)-7log_{2}(y)

simplify

6 lo g_{2} (x) - 7 lo g_{2} (y)

lo g_{2} (\frac{x ^{6}}{y ^{7}})

Solution steps

6 lo g_{2} (x) - 7 lo g_{2} (y)

Apply log rule:

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

6 lo g_{2} (x) = lo g_{2} (x^{6})

= lo g_{2} (x^{6}) - 7 lo g_{2} (y)

Apply log rule:

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

7 lo g_{2} (y) = lo g_{2} (y^{7})

= lo g_{2} (x^{6}) - lo g_{2} (y^{7})

Apply log rule:

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

lo g_{2} (x^{6}) - lo g_{2} (y^{7}) = lo g_{2} (\frac{x ^{6}}{y ^{7}})

= lo g_{2} (\frac{x ^{6}}{y ^{7}})

3 lo g_{7} (v) + 6 lo g_{7} (w) - \frac{lo g _{7} ( u )}{3}

lo g_{2} (6) - lo g_{2} (25) + lo g_{2} (20)

lo g_{10} (x + 1) - lo g_{10} (x)

ln (\frac{e}{5})

lo g_{3} (9 x)

What is 6log_{2}(x)-7log_{2}(y) ?
The solution to 6log_{2}(x)-7log_{2}(y) is log_{2}((x^6)/(y^7))