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Popular >

simplify 1/7 (ln(x)+6ln(y))

Solution

simplify

\frac{1}{7} (ln (x) + 6 ln (y))

Solution

\frac{1}{7} ln (x y^{6})

Solution steps

\frac{1}{7} (ln (x) + 6 ln (y))

Apply log rule:

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

6 ln (y) = ln (y^{6})

= \frac{1}{7} (ln (x) + ln (y^{6}))

Apply log rule:

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

ln (x) + ln (y^{6}) = ln (x y^{6})

= \frac{1}{7} ln (x y^{6})

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Frequently Asked Questions (FAQ)

What is 1/7 (ln(x)+6ln(y)) ?
The solution to 1/7 (ln(x)+6ln(y)) is 1/7 ln(xy^6)