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Popular >

simplify 35ln(x)-7ln(y)

Solution

simplify

35 ln (x) - 7 ln (y)

Solution

ln (\frac{x ^{35}}{y ^{7}})

Solution steps

35 ln (x) - 7 ln (y)

Apply log rule:

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

35 ln (x) = ln (x^{35})

= ln (x^{35}) - 7 ln (y)

Apply log rule:

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

7 ln (y) = ln (y^{7})

= ln (x^{35}) - ln (y^{7})

Apply log rule:

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

ln (x^{35}) - ln (y^{7}) = ln (\frac{x ^{35}}{y ^{7}})

= ln (\frac{x ^{35}}{y ^{7}})

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Frequently Asked Questions (FAQ)

What is 35ln(x)-7ln(y) ?
The solution to 35ln(x)-7ln(y) is ln((x^{35})/(y^7))