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Popular >

simplify ln(z)-3ln(x)

Solution

simplify

ln (z) - 3 ln (x)

Solution

ln (\frac{z}{x ^{3}})

Solution steps

ln (z) - 3 ln (x)

Apply log rule:

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

3 ln (x) = ln (x^{3})

= ln (z) - ln (x^{3})

Apply log rule:

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

ln (z) - ln (x^{3}) = ln (\frac{z}{x ^{3}})

= ln (\frac{z}{x ^{3}})

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Frequently Asked Questions (FAQ)

What is ln(z)-3ln(x) ?
The solution to ln(z)-3ln(x) is ln(z/(x^3))