What is 8log_{10}(k)+2log_{10}(x) ?

The solution to 8log_{10}(k)+2log_{10}(x) is log_{10}(k^8x^2)

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simplify 8log_{10}(k)+2log_{10}(x)

simplify

8 lo g_{10} (k) + 2 lo g_{10} (x)

lo g_{10} (k^{8} x^{2})

Solution steps

8 lo g_{10} (k) + 2 lo g_{10} (x)

Apply log rule:

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

8 lo g_{10} (k) = lo g_{10} (k^{8})

= lo g_{10} (k^{8}) + 2 lo g_{10} (x)

Apply log rule:

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

2 lo g_{10} (x) = lo g_{10} (x^{2})

= lo g_{10} (k^{8}) + lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (k^{8}) + lo g_{10} (x^{2}) = lo g_{10} (k^{8} x^{2})

= lo g_{10} (k^{8} x^{2})

ln (x^{12} 7 - x)

lo g_{10} (x) + lo g_{10} (x - 15)

ln (3 y)

lo g_{2} (\frac{8}{x - 1})

lo g_{8} (9) - lo g_{8} (11)

What is 8log_{10}(k)+2log_{10}(x) ?
The solution to 8log_{10}(k)+2log_{10}(x) is log_{10}(k^8x^2)