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Popular >

simplify ln((Z^7)/4)

Solution

simplify

ln (\frac{Z ^{7}}{4})

Solution

7 ln (Z) - 2 ln (2)

Solution steps

ln (\frac{Z ^{7}}{4})

Apply log rule:

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

ln (\frac{Z ^{7}}{4}) = ln (Z^{7}) - ln (4)

= ln (Z^{7}) - ln (4)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 7 ln (Z) - ln (4)

ln (4) = 2 ln (2)

= 7 ln (Z) - 2 ln (2)

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Frequently Asked Questions (FAQ)

What is ln((Z^7)/4) ?
The solution to ln((Z^7)/4) is 7ln(Z)-2ln(2)