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Popular >

simplify log_{10}(4/3)

Solution

simplify

lo g_{10} (\frac{4}{3})

Solution

2 lo g_{10} (2) - lo g_{10} (3)

+1

Decimal Notation

0.12493 \dots

Solution steps

lo g_{10} (\frac{4}{3})

Apply log rule:

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

lo g_{10} (\frac{4}{3}) = lo g_{10} (4) - lo g_{10} (3)

= lo g_{10} (4) - lo g_{10} (3)

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

= 2 lo g_{10} (2) - lo g_{10} (3)

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Frequently Asked Questions (FAQ)

What is log_{10}(4/3) ?
The solution to log_{10}(4/3) is 2log_{10}(2)-log_{10}(3)