What is expand log_{4}(13b^6c) ?

The solution to expand log_{4}(13b^6c) is log_{4}(13)+6log_{4}(b)+log_{4}(c)

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expand log_{4}(13b^6c)

expand

lo g_{4} (13 b^{6} c)

lo g_{4} (13) + 6 lo g_{4} (b) + lo g_{4} (c)

Solution steps

lo g_{4} (13 b^{6} c)

Apply log rule:

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

lo g_{4} (13 b^{6} c) = lo g_{4} (13) + lo g_{4} (b^{6}) + lo g_{4} (c)

= lo g_{4} (13) + lo g_{4} (b^{6}) + lo g_{4} (c)

Apply log rule:

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

lo g_{4} (b^{6}) = 6 lo g_{4} (b)

= lo g_{4} (13) + 6 lo g_{4} (b) + lo g_{4} (c)

lo g_{5} (\frac{25}{x + 2})

lo g_{4} (16 x^{4}) - lo g_{4} ((2 x)^{2})

- lo g_{10} (7.2 \cdot 1 0^{- 7})

3 ln (2) + \frac{1}{3} ln (8) - \frac{1}{2} ln (25)

2 ln (t) + 5 ln (z) - ln (t)

What is expand log_{4}(13b^6c) ?
The solution to expand log_{4}(13b^6c) is log_{4}(13)+6log_{4}(b)+log_{4}(c)