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Popular >

simplify log_{b}(b/c)+log_{b}(bc)

Solution

simplify

lo g_{b} (\frac{b}{c}) + lo g_{b} (b c)

Solution

2

Solution steps

lo g_{b} (\frac{b}{c}) + lo g_{b} (b c)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{b} (\frac{b}{c}) + lo g_{b} (b c) = lo g_{b} (\frac{b}{c} b c)

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

Simplify

\frac{b}{c} b c : b^{2}

= lo g_{b} (b^{2})

Apply log rule:

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

= 2

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Frequently Asked Questions (FAQ)

What is log_{b}(b/c)+log_{b}(bc) ?
The solution to log_{b}(b/c)+log_{b}(bc) is 2