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Popular >

simplify log_{10}(100000x)

Solution

simplify

lo g_{10} (100000 x)

Solution

5 + lo g_{10} (x)

Solution steps

lo g_{10} (100000 x)

Factor the number:

100000 = 1 0^{5}

= lo g_{10} (1 0^{5} x)

Apply log rule:

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

lo g_{10} (1 0^{5} x) = lo g_{10} (1 0^{5}) + lo g_{10} (x)

= lo g_{10} (1 0^{5}) + lo g_{10} (x)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{5}) = 5

= 5 + lo g_{10} (x)

Popular Examples

simplify log_{10}(25x)-log_{10}(15x)+log_{10}(3y)simplify

lo g_{10} (25 x) - lo g_{10} (15 x) + lo g_{10} (3 y)

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lo g_{10} (x^{2} y^{5})

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lo g_{3} (\frac{81}{y})

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Frequently Asked Questions (FAQ)

What is log_{10}(100000x) ?
The solution to log_{10}(100000x) is 5+log_{10}(x)