What is ln(x/(sqrt(x^6y^2))) ?

The solution to ln(x/(sqrt(x^6y^2))) is ln(x)-ln(sqrt(x^6)sqrt(y^2))

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simplify ln(x/(sqrt(x^6y^2)))

simplify

ln (\frac{x}{x ^{6} y ^{2}})

ln (x) - ln (x^{6} y^{2})

Solution steps

ln (\frac{x}{x ^{6} y ^{2}})

Apply log rule:

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

ln (\frac{x}{x ^{6} y ^{2}}) = ln (x) - ln (x^{6} y^{2})

= ln (x) - ln (x^{6} y^{2})

x^{6} y^{2} = x^{6} y^{2}

= ln (x) - ln (x^{6} y^{2})

lo g_{7} (\frac{7 x ^{5}}{y})

lo g_{6} (7 x)

lo g_{5} (\frac{25}{y})

ln (x + 1) + ln (x - 1)

lo g_{5} (8) + lo g_{5} (12)

What is ln(x/(sqrt(x^6y^2))) ?
The solution to ln(x/(sqrt(x^6y^2))) is ln(x)-ln(sqrt(x^6)sqrt(y^2))