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Popular >

simplify log_{10}(1.6)

Solution

simplify

lo g_{10} (1.6)

Solution

4 lo g_{10} (2) - 1

+1

Decimal Notation

0.20411 \dots

Solution steps

lo g_{10} (1.6)

1.6 = \frac{16}{10}

= lo g_{10} (\frac{16}{10})

Apply log rule:

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

lo g_{10} (\frac{16}{10}) = lo g_{10} (16) - lo g_{10} (10)

= lo g_{10} (16) - lo g_{10} (10)

lo g_{10} (16) = 4 lo g_{10} (2)

lo g_{10} (10) = 1

= 4 lo g_{10} (2) - 1

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Frequently Asked Questions (FAQ)

What is log_{10}(1.6) ?
The solution to log_{10}(1.6) is 4log_{10}(2)-1