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Popular >

simplify log_{10}(2.5)

Solution

simplify

lo g_{10} (2.5)

Solution

2 lo g_{10} (5) - 1

+1

Decimal Notation

0.39794 \dots

Solution steps

lo g_{10} (2.5)

2.5 = \frac{25}{10}

= lo g_{10} (\frac{25}{10})

Apply log rule:

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

lo g_{10} (\frac{25}{10}) = lo g_{10} (25) - lo g_{10} (10)

= lo g_{10} (25) - lo g_{10} (10)

lo g_{10} (25) = 2 lo g_{10} (5)

lo g_{10} (10) = 1

= 2 lo g_{10} (5) - 1

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Frequently Asked Questions (FAQ)

What is log_{10}(2.5) ?
The solution to log_{10}(2.5) is 2log_{10}(5)-1