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Popular >

simplify log_{10}(5/4)

Solution

simplify

lo g_{10} (\frac{5}{4})

Solution

lo g_{10} (5) - 2 lo g_{10} (2)

+1

Decimal Notation

0.09691 \dots

Solution steps

lo g_{10} (\frac{5}{4})

Apply log rule:

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

lo g_{10} (\frac{5}{4}) = lo g_{10} (5) - lo g_{10} (4)

= lo g_{10} (5) - lo g_{10} (4)

lo g_{10} (4) = 2 lo g_{10} (2)

= lo g_{10} (5) - 2 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(5/4) ?
The solution to log_{10}(5/4) is log_{10}(5)-2log_{10}(2)