What is log_{x}(a)+3log_{x}(b)+2log_{x}(c) ?

The solution to log_{x}(a)+3log_{x}(b)+2log_{x}(c) is log_{x}(ab^3c^2)

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simplify log_{x}(a)+3log_{x}(b)+2log_{x}(c)

simplify

lo g_{x} (a) + 3 lo g_{x} (b) + 2 lo g_{x} (c)

lo g_{x} (a b^{3} c^{2})

Solution steps

lo g_{x} (a) + 3 lo g_{x} (b) + 2 lo g_{x} (c)

Apply log rule:

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

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

= lo g_{x} (a) + lo g_{x} (b^{3}) + 2 lo g_{x} (c)

Apply log rule:

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

lo g_{x} (a) + lo g_{x} (b^{3}) = lo g_{x} (a b^{3})

= lo g_{x} (a b^{3}) + 2 lo g_{x} (c)

Apply log rule:

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

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

= lo g_{x} (a b^{3}) + lo g_{x} (c^{2})

Apply log rule:

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

lo g_{x} (a b^{3}) + lo g_{x} (c^{2}) = lo g_{x} (a b^{3} c^{2})

= lo g_{x} (a b^{3} c^{2})

4 (\frac{1}{4})^{1 + 2}

4.5 = 0.5 n

x^{2} - x + 1 = 43

5 + 25

- 4 x^{2} - 28 x - 48

What is log_{x}(a)+3log_{x}(b)+2log_{x}(c) ?
The solution to log_{x}(a)+3log_{x}(b)+2log_{x}(c) is log_{x}(ab^3c^2)