What is log_{10}(8)-log_{10}(4) ?

The solution to log_{10}(8)-log_{10}(4) is log_{10}(2)

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simplify log_{10}(8)-log_{10}(4)

simplify

lo g_{10} (8) - lo g_{10} (4)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (8) - lo g_{10} (4)

Apply log rule:

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

lo g_{10} (8) - lo g_{10} (4) = lo g_{10} (\frac{8}{4})

= lo g_{10} (\frac{8}{4})

Divide the numbers:

\frac{8}{4} = 2

= lo g_{10} (2)

lo g_{10} (y z^{7})

lo g_{4} (6 x^{4})

2 lo g_{8} (9 x) - lo g_{8} (2 x - 5)

lo g_{7} (\frac{7}{y})

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

What is log_{10}(8)-log_{10}(4) ?
The solution to log_{10}(8)-log_{10}(4) is log_{10}(2)