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Popular >

simplify log_{10}(z^8x)

Solution

simplify

lo g_{10} (z^{8} x)

Solution

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

Solution steps

lo g_{10} (z^{8} x)

Apply log rule:

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

lo g_{10} (z^{8} x) = lo g_{10} (z^{8}) + lo g_{10} (x)

= lo g_{10} (z^{8}) + lo g_{10} (x)

Simplify

lo g_{10} (z^{8}) : 8 lo g_{10} (z)

= 8 lo g_{10} (z) + lo g_{10} (x)

Popular Examples

simplify ln((e^5)/8)simplify

ln (\frac{e ^{5}}{8})

simplify 2*log_{10}(10x)simplify

2 \cdot lo g_{10} (10 x)

expand ln((e^2)/5)expand

ln (\frac{e ^{2}}{5})

simplify log_{10}(x)+log_{10}(34)simplify

lo g_{10} (x) + lo g_{10} (34)

simplify log_{10}(Ax^n)simplify

lo g_{10} (A x^{n})

Frequently Asked Questions (FAQ)

What is log_{10}(z^8x) ?
The solution to log_{10}(z^8x) is 8log_{10}(z)+log_{10}(x)