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Popular >

simplify log_{2}(p/q)

Solution

simplify

lo g_{2} (\frac{p}{q})

Solution

lo g_{2} (p) - lo g_{2} (q)

Solution steps

lo g_{2} (\frac{p}{q})

Apply log rule:

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

lo g_{2} (\frac{p}{q}) = lo g_{2} (p) - lo g_{2} (q)

= lo g_{2} (p) - lo g_{2} (q)

Popular Examples

simplify 1/2 (log_{6}(r-1)-log_{6}(r))simplify

\frac{1}{2} (lo g_{6} (r - 1) - lo g_{6} (r))

simplify log_{10}((a^4b^3)/(c^2))simplify

lo g_{10} (\frac{a ^{4} b ^{3}}{c ^{2}})

simplify 7log_{3}(u)+2log_{3}(v)simplify

7 lo g_{3} (u) + 2 lo g_{3} (v)

simplify log_{4}(x)y^2+2log_{4}(x/y)simplify

lo g_{4} (x) y^{2} + 2 lo g_{4} (\frac{x}{y})

simplify 3*log_{10}(3)-2*log_{10}(6)simplify

3 \cdot lo g_{10} (3) - 2 \cdot lo g_{10} (6)

Frequently Asked Questions (FAQ)

What is log_{2}(p/q) ?
The solution to log_{2}(p/q) is log_{2}(p)-log_{2}(q)