What is 7log_{5}(x)+12log_{5}(y) ?

The solution to 7log_{5}(x)+12log_{5}(y) is log_{5}(x^7y^{12})

Popular >

simplify 7log_{5}(x)+12log_{5}(y)

simplify

7 lo g_{5} (x) + 12 lo g_{5} (y)

lo g_{5} (x^{7} y^{12})

Solution steps

7 lo g_{5} (x) + 12 lo g_{5} (y)

Apply log rule:

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

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

= lo g_{5} (x^{7}) + 12 lo g_{5} (y)

Apply log rule:

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

12 lo g_{5} (y) = lo g_{5} (y^{12})

= lo g_{5} (x^{7}) + lo g_{5} (y^{12})

Apply log rule:

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

lo g_{5} (x^{7}) + lo g_{5} (y^{12}) = lo g_{5} (x^{7} y^{12})

= lo g_{5} (x^{7} y^{12})

3 lo g_{10} (x + 5) - lo g_{10} (x - 2)

1.1 \cdot ln (\frac{670}{970}) - \frac{8.314}{28.97} \cdot ln (\frac{1}{4})

ln (2 x^{2} - 2 x - 24) - ln (- 2 x - 6)

- \frac{5}{4} ln (\frac{0.05}{0.9})

9 lo g_{6} (x) + 18 lo g_{6} (y)

What is 7log_{5}(x)+12log_{5}(y) ?
The solution to 7log_{5}(x)+12log_{5}(y) is log_{5}(x^7y^{12})