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Popular >

simplify ln(((3x-5)^2)/7)

Solution

simplify

ln (\frac{( 3 x - 5 ) ^{2}}{7})

Solution

2 ln (3 x - 5) - ln (7)

Solution steps

ln (\frac{( 3 x - 5 ) ^{2}}{7})

Apply log rule:

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

ln (\frac{( 3 x - 5 ) ^{2}}{7}) = ln ((3 x - 5)^{2}) - ln (7)

= ln ((3 x - 5)^{2}) - ln (7)

Apply log rule:

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

ln ((3 x - 5)^{2}) = 2 ln (3 x - 5)

= 2 ln (3 x - 5) - ln (7)

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Frequently Asked Questions (FAQ)

What is ln(((3x-5)^2)/7) ?
The solution to ln(((3x-5)^2)/7) is 2ln(3x-5)-ln(7)