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Popular >

simplify log_{7}(70)

Solution

simplify

lo g_{7} (70)

Solution

1 + lo g_{7} (10)

+1

Decimal Notation

2.18329 \dots

Solution steps

lo g_{7} (70)

Factor the number:

70 = 7 \cdot 10

= lo g_{7} (7 \cdot 10)

Apply log rule:

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

lo g_{7} (7 \cdot 10) = lo g_{7} (7) + lo g_{7} (10)

= lo g_{7} (7) + lo g_{7} (10)

Apply log rule:

lo g_{a} (a) = 1

lo g_{7} (7) = 1

= 1 + lo g_{7} (10)

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Frequently Asked Questions (FAQ)

What is log_{7}(70) ?
The solution to log_{7}(70) is 1+log_{7}(10)