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Popular >

simplify log_{7}(8/81)

Solution

simplify

lo g_{7} (\frac{8}{81})

Solution

3 lo g_{7} (2) - 4 lo g_{7} (3)

+1

Decimal Notation

- 1.18967 \dots

Solution steps

lo g_{7} (\frac{8}{81})

Apply log rule:

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

lo g_{7} (\frac{8}{81}) = lo g_{7} (8) - lo g_{7} (81)

= lo g_{7} (8) - lo g_{7} (81)

lo g_{7} (8) = 3 lo g_{7} (2)

lo g_{7} (81) = 4 lo g_{7} (3)

= 3 lo g_{7} (2) - 4 lo g_{7} (3)

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Frequently Asked Questions (FAQ)

What is log_{7}(8/81) ?
The solution to log_{7}(8/81) is 3log_{7}(2)-4log_{7}(3)