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Popular >

simplify 7ln(x+3)-ln(x)

Solution

simplify

7 ln (x + 3) - ln (x)

Solution

ln (\frac{( x + 3 ) ^{7}}{x})

Solution steps

7 ln (x + 3) - ln (x)

Apply log rule:

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

7 ln (x + 3) = ln ((x + 3)^{7})

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

Apply log rule:

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

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

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

Popular Examples

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\frac{1}{3} \cdot lo g_{2} (\frac{1}{3}) + \frac{2}{3} \cdot lo g_{2} (\frac{2}{3})

simplify 10ln(3x)simplify

10 ln (3 x)

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lo g_{4} (7) - lo g_{4} (10)

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ln (\frac{x}{x + 2})

Frequently Asked Questions (FAQ)

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