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Popular >

simplify log_{4}(xz)

Solution

simplify

lo g_{4} (x z)

Solution

lo g_{4} (x) + lo g_{4} (z)

Solution steps

lo g_{4} (x z)

Apply log rule:

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

lo g_{4} (x z) = lo g_{4} (x) + lo g_{4} (z)

= lo g_{4} (x) + lo g_{4} (z)

Popular Examples

simplify-3/4*log_{2}(3/4)-1/4*log_{2}(1/4)simplify

- \frac{3}{4} \cdot lo g_{2} (\frac{3}{4}) - \frac{1}{4} \cdot lo g_{2} (\frac{1}{4})

simplify log_{10}((x^3)/y)simplify

lo g_{10} (\frac{x ^{3}}{y})

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

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

simplify log_{2}((16)/y)simplify

lo g_{2} (\frac{16}{y})

simplify log_{2}(xy)-log_{2}(x^2)simplify

lo g_{2} (x y) - lo g_{2} (x^{2})

Frequently Asked Questions (FAQ)

What is log_{4}(xz) ?
The solution to log_{4}(xz) is log_{4}(x)+log_{4}(z)