What is expand log_{4}(11b^2c) ?

The solution to expand log_{4}(11b^2c) is log_{4}(11)+2log_{4}(b)+log_{4}(c)

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expand log_{4}(11b^2c)

expand

lo g_{4} (11 b^{2} c)

lo g_{4} (11) + 2 lo g_{4} (b) + lo g_{4} (c)

Solution steps

lo g_{4} (11 b^{2} c)

Apply log rule:

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

lo g_{4} (11 b^{2} c) = lo g_{4} (11) + lo g_{4} (b^{2}) + lo g_{4} (c)

= lo g_{4} (11) + lo g_{4} (b^{2}) + lo g_{4} (c)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{4} (b^{2}) = 2 lo g_{4} (b)

= lo g_{4} (11) + 2 lo g_{4} (b) + lo g_{4} (c)

ln (\frac{0.3}{0.25})

lo g_{10} (y z^{5})

ln (\frac{3}{2.5})

ln (\frac{x}{x - 1}) + ln (\frac{( x + 1 )}{x}) - ln (x^{2} - 1)

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

What is expand log_{4}(11b^2c) ?
The solution to expand log_{4}(11b^2c) is log_{4}(11)+2log_{4}(b)+log_{4}(c)