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Popular >

simplify ln(R)-ln(1/k)

Solution

simplify

ln (R) - ln (\frac{1}{k})

Solution

ln (k R)

Solution steps

ln (R) - ln (\frac{1}{k})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (R) - ln (\frac{1}{k}) = ln (\frac{R}{\frac{1}{k}})

= ln (\frac{R}{\frac{1}{k}})

Simplify

\frac{R}{\frac{1}{k}} : k R

= ln (k R)

Popular Examples

simplify 4.7447+log_{10}((0.5)/(0.75))simplify

4.7447 + lo g_{10} (\frac{0.5}{0.75})

simplify ln((10)/(12.5))+ln(8/10)simplify

ln (\frac{10}{12.5}) + ln (\frac{8}{10})

expand ln(x/(x-2))expand

ln (\frac{x}{x - 2})

expand log_{2}((16)/(x^4))expand

lo g_{2} (\frac{16}{x ^{4}})

simplify 5log_{3}(z)+7log_{3}(y)simplify

5 lo g_{3} (z) + 7 lo g_{3} (y)

Frequently Asked Questions (FAQ)

What is ln(R)-ln(1/k) ?
The solution to ln(R)-ln(1/k) is ln(kR)