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Popular >

simplify log_{10}(z^7x)

Solution

simplify

lo g_{10} (z^{7} x)

Solution

7 lo g_{10} (z) + lo g_{10} (x)

Solution steps

lo g_{10} (z^{7} x)

Apply log rule:

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

lo g_{10} (z^{7} x) = lo g_{10} (z^{7}) + lo g_{10} (x)

= lo g_{10} (z^{7}) + lo g_{10} (x)

Simplify

lo g_{10} (z^{7}) : 7 lo g_{10} (z)

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

Popular Examples

simplify log_{10}(12x^4)-log_{10}(4x)simplify

lo g_{10} (12 x^{4}) - lo g_{10} (4 x)

simplify 2ln(x)+1/2 ln(x+4)simplify

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ln (7 \cdot e^{x})

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lo g_{3} (2 x) - lo g_{3} (x)

Frequently Asked Questions (FAQ)

What is log_{10}(z^7x) ?
The solution to log_{10}(z^7x) is 7log_{10}(z)+log_{10}(x)