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Popular >

simplify ln(x)+5ln(y)

Solution

simplify

ln (x) + 5 ln (y)

Solution

ln (x y^{5})

Solution steps

ln (x) + 5 ln (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (y) = ln (y^{5})

= ln (x) + ln (y^{5})

Apply log rule:

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

ln (x) + ln (y^{5}) = ln (x y^{5})

= ln (x y^{5})

Popular Examples

expand ln(((m^5)/(n^2))^3)expand

ln ((\frac{m ^{5}}{n ^{2}})^{3})

simplify log_{8}(10)-2log_{8}(3)simplify

lo g_{8} (10) - 2 lo g_{8} (3)

simplify log_{10}(MN)simplify

lo g_{10} (MN)

expand log_{2}(3xy^2)expand

lo g_{2} (3 x y^{2})

simplify log_{3/5}(4/9)*log_{3/2}(25/9)simplify

lo g_{\frac{3}{5}} (\frac{4}{9}) \cdot lo g_{\frac{3}{2}} (\frac{25}{9})

Frequently Asked Questions (FAQ)

What is ln(x)+5ln(y) ?
The solution to ln(x)+5ln(y) is ln(xy^5)