What is 7log_{b}(x)+6log_{b}(z) ?

The solution to 7log_{b}(x)+6log_{b}(z) is log_{b}(x^7z^6)

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simplify 7log_{b}(x)+6log_{b}(z)

simplify

7 lo g_{b} (x) + 6 lo g_{b} (z)

lo g_{b} (x^{7} z^{6})

Solution steps

7 lo g_{b} (x) + 6 lo g_{b} (z)

Apply log rule:

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

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

= lo g_{b} (x^{7}) + 6 lo g_{b} (z)

Apply log rule:

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

6 lo g_{b} (z) = lo g_{b} (z^{6})

= lo g_{b} (x^{7}) + lo g_{b} (z^{6})

Apply log rule:

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

lo g_{b} (x^{7}) + lo g_{b} (z^{6}) = lo g_{b} (x^{7} z^{6})

= lo g_{b} (x^{7} z^{6})

ln (\frac{3}{2 x ^{2} y})

lo g_{b} (5) + 2 lo g_{b} (4)

2 lo g_{2} (x) + lo g_{2} (5)

lo g_{10} (9) + 4 \cdot lo g_{10} (27) - lo g_{10} (81)

What is 7log_{b}(x)+6log_{b}(z) ?
The solution to 7log_{b}(x)+6log_{b}(z) is log_{b}(x^7z^6)