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Popular >

simplify ln(5)+1+ln(y)-ln(x)

Solution

simplify

ln (5) + 1 + ln (y) - ln (x)

Solution

ln (\frac{5 y}{x}) + 1

Solution steps

ln (5) + 1 + ln (y) - ln (x)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (5) + ln (y) = ln (5 y)

= ln (5 y) + 1 - ln (x)

Apply log rule:

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

ln (5 y) - ln (x) = ln (\frac{5 y}{x})

= ln (\frac{5 y}{x}) + 1

Popular Examples

simplify 4.74+log_{10}((2.2245)/(3.4255))simplify

4.74 + lo g_{10} (\frac{2.2245}{3.4255})

simplify-3log_{2}(t)-log_{2}(3)simplify

- 3 lo g_{2} (t) - lo g_{2} (3)

simplify-1ln((s^2-a^2)/(s^2))simplify

- 1 ln (\frac{s ^{2} - a ^{2}}{s ^{2}})

simplify ln((10)/(0.5))simplify

ln (\frac{10}{0.5})

simplify log_{e}((49pi^6)/3)simplify

lo g_{e} (\frac{49 π ^{6}}{3})

Frequently Asked Questions (FAQ)

What is ln(5)+1+ln(y)-ln(x) ?
The solution to ln(5)+1+ln(y)-ln(x) is ln((5y)/x)+1