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Popular >

simplify ln(((x-7)^6)/3)

Solution

simplify

ln (\frac{( x - 7 ) ^{6}}{3})

Solution

6 ln (x - 7) - ln (3)

Solution steps

ln (\frac{( x - 7 ) ^{6}}{3})

Apply log rule:

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

ln (\frac{( x - 7 ) ^{6}}{3}) = ln ((x - 7)^{6}) - ln (3)

= ln ((x - 7)^{6}) - ln (3)

Apply log rule:

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

ln ((x - 7)^{6}) = 6 ln (x - 7)

= 6 ln (x - 7) - ln (3)

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Frequently Asked Questions (FAQ)

What is ln(((x-7)^6)/3) ?
The solution to ln(((x-7)^6)/3) is 6ln(x-7)-ln(3)