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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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)

Simplify

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

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

2 - lo g_{10} (4 x)

lo g_{3} (\frac{27}{x + 9})

lo g_{5} (x y)

lo g_{5} (\frac{25 a ^{5} b ^{8}}{c d})

ln (\frac{3 x}{x ^{2} + 4})

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