What is log_{a}(56)-log_{a}(40) ?

The solution to log_{a}(56)-log_{a}(40) is log_{a}(7/5)

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simplify log_{a}(56)-log_{a}(40)

simplify

lo g_{a} (56) - lo g_{a} (40)

lo g_{a} (\frac{7}{5})

Solution steps

lo g_{a} (56) - lo g_{a} (40)

Apply log rule:

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

lo g_{a} (56) - lo g_{a} (40) = lo g_{a} (\frac{56}{40})

= lo g_{a} (\frac{56}{40})

Cancel

\frac{56}{40} : \frac{7}{5}

= lo g_{a} (\frac{7}{5})

3 lo g_{2} (x) - 4 lo g_{2} (x + 3) - 2 lo g_{2} (y)

lo g_{10} (\frac{x ^{4} z ^{3}}{y})

lo g_{3} (27 x^{4})

lo g_{10} (1) + lo g_{10} (2) + lo g_{10} (3)

lo g_{10} (2.3) - lo g_{10} (3.1)

What is log_{a}(56)-log_{a}(40) ?
The solution to log_{a}(56)-log_{a}(40) is log_{a}(7/5)