What is log_{7}((a+b)*c) ?

The solution to log_{7}((a+b)*c) is log_{7}(a+b)+log_{7}(c)

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simplify log_{7}((a+b)*c)

simplify

lo g_{7} ((a + b) \cdot c)

lo g_{7} (a + b) + lo g_{7} (c)

Solution steps

lo g_{7} ((a + b) c)

Apply log rule:

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

lo g_{7} ((a + b) c) = lo g_{7} (a + b) + lo g_{7} (c)

= lo g_{7} (a + b) + lo g_{7} (c)

ln (\frac{4 e ^{6}}{7 y})

ln (6 + x^{2}) - ln (7 + x)

lo g_{5} (2) + lo g_{5} (7)

ln (θ x^{θ - 1})

lo g_{10} (\frac{m ^{4} + n}{1000})

What is log_{7}((a+b)*c) ?
The solution to log_{7}((a+b)*c) is log_{7}(a+b)+log_{7}(c)