What is expand 3log_{7}(4)+log_{7}(6) ?

The solution to expand 3log_{7}(4)+log_{7}(6) is log_{7}(384)

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expand 3log_{7}(4)+log_{7}(6)

expand

3 lo g_{7} (4) + lo g_{7} (6)

lo g_{7} (384)

Decimal Notation

3.05802 \dots

Solution steps

3 lo g_{7} (4) + lo g_{7} (6)

Apply log rule:

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

3 lo g_{7} (4) = lo g_{7} (4^{3})

= lo g_{7} (4^{3}) + lo g_{7} (6)

Apply log rule:

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

lo g_{7} (4^{3}) + lo g_{7} (6) = lo g_{7} (4^{3} \cdot 6)

= lo g_{7} (4^{3} \cdot 6)

Expand

4^{3} \cdot 6 : 384

= lo g_{7} (384)

4 lo g_{2} (u) + 2 lo g_{2} (v)

ln (\frac{1}{1 - e ( - ( b + a x + cy ) )})

ln (\frac{3 x + 1 + 9 x ^{2} + 6 x - 8}{3})

ln (\frac{3.64}{23}) + (\frac{6}{23})

\frac{1}{2} ln (40) + \frac{1}{2} ln (1 - \frac{1}{2})

What is expand 3log_{7}(4)+log_{7}(6) ?
The solution to expand 3log_{7}(4)+log_{7}(6) is log_{7}(384)