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Popular >

simplify 4ln(x)+4ln(y)

Solution

simplify

4 ln (x) + 4 ln (y)

Solution

ln (x^{4} y^{4})

Solution steps

4 ln (x) + 4 ln (y)

Apply log rule:

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

4 ln (x) = ln (x^{4})

= ln (x^{4}) + 4 ln (y)

Apply log rule:

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

4 ln (y) = ln (y^{4})

= ln (x^{4}) + ln (y^{4})

Apply log rule:

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

ln (x^{4}) + ln (y^{4}) = ln (x^{4} y^{4})

= ln (x^{4} y^{4})

Popular Examples

simplify log_{8}(2x^3)simplify

lo g_{8} (2 x^{3})

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lo g_{10} (9 x)

simplify log_{b}(4/c)simplify

lo g_{b} (\frac{4}{c})

simplify log_{2}(4x^3)simplify

lo g_{2} (4 x^{3})

simplify-log_{10}(4.3*10^{-5})simplify

- lo g_{10} (4.3 \cdot 1 0^{- 5})

Frequently Asked Questions (FAQ)

What is 4ln(x)+4ln(y) ?
The solution to 4ln(x)+4ln(y) is ln(x^4y^4)