What is simplify-log_{10}(a/b) ?

The solution to simplify-log_{10}(a/b) is -log_{10}(a)+log_{10}(b)

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simplify-log_{10}(a/b)

simplify

- lo g_{10} (\frac{a}{b})

- lo g_{10} (a) + lo g_{10} (b)

Solution steps

- lo g_{10} (\frac{a}{b})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

- lo g_{10} (\frac{a}{b}) = - (lo g_{10} (a) - lo g_{10} (b))

= - (lo g_{10} (a) - lo g_{10} (b))

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{10} (a) - lo g_{10} (b)) = - lo g_{10} (a) + lo g_{10} (b)

= - lo g_{10} (a) + lo g_{10} (b)

ln (2 i)

\frac{1}{2} ln (x + 3) + \frac{1}{3} ln (x + 2)

lo g_{3} (\frac{3 x ^{5}}{y})

- ln (\frac{1}{4})

lo g_{10} (2 x^{4}) + lo g_{10} (3 x^{5})

What is simplify-log_{10}(a/b) ?
The solution to simplify-log_{10}(a/b) is -log_{10}(a)+log_{10}(b)