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Popular >

simplify log_{5}(5/y)

Solution

simplify

lo g_{5} (\frac{5}{y})

Solution

1 - lo g_{5} (y)

Solution steps

lo g_{5} (\frac{5}{y})

Apply log rule:

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

lo g_{5} (\frac{5}{y}) = lo g_{5} (5) - lo g_{5} (y)

= lo g_{5} (5) - lo g_{5} (y)

lo g_{5} (5) = 1

= 1 - lo g_{5} (y)

Popular Examples

simplify log_{10}(a)-log_{10}(x)-log_{10}(y)simplify

lo g_{10} (a) - lo g_{10} (x) - lo g_{10} (y)

simplify ln(x/(x-5))+ln((x+5)/x)-ln(x^2-25)simplify

ln (\frac{x}{x - 5}) + ln (\frac{x + 5}{x}) - ln (x^{2} - 25)

simplify log_{b}(x/(yz))simplify

lo g_{b} (\frac{x}{yz})

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

\frac{1}{2} ln (x) + ln (y)

simplify 2/5 ln(15/2)simplify

\frac{2}{5} ln (\frac{15}{2})

Frequently Asked Questions (FAQ)

What is log_{5}(5/y) ?
The solution to log_{5}(5/y) is 1-log_{5}(y)