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Popular >

simplify log_{70}(143640)

Solution

simplify

lo g_{70} (143640)

Solution

1 + lo g_{70} (2052)

+1

Decimal Notation

2.79512 \dots

Solution steps

lo g_{70} (143640)

Factor the number:

143640 = 70 \cdot 2052

= lo g_{70} (70 \cdot 2052)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{70} (70 \cdot 2052) = lo g_{70} (70) + lo g_{70} (2052)

= lo g_{70} (70) + lo g_{70} (2052)

Apply log rule:

lo g_{a} (a) = 1

lo g_{70} (70) = 1

= 1 + lo g_{70} (2052)

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Frequently Asked Questions (FAQ)

What is log_{70}(143640) ?
The solution to log_{70}(143640) is 1+log_{70}(2052)