What is 2ln(x+13)-ln(x+7) ?

The solution to 2ln(x+13)-ln(x+7) is ln(((x+13)^2)/(x+7))

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simplify 2ln(x+13)-ln(x+7)

simplify

2 ln (x + 13) - ln (x + 7)

ln (\frac{( x + 13 ) ^{2}}{x + 7})

Solution steps

2 ln (x + 13) - ln (x + 7)

Apply log rule:

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

2 ln (x + 13) = ln ((x + 13)^{2})

= ln ((x + 13)^{2}) - ln (x + 7)

Apply log rule:

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

ln ((x + 13)^{2}) - ln (x + 7) = ln (\frac{( x + 13 ) ^{2}}{x + 7})

= ln (\frac{( x + 13 ) ^{2}}{x + 7})

ln (\frac{0.0205}{0.02})

lo g_{10} (\frac{2 x}{y})

ln (\frac{3}{x})

3 lo g_{c} (x + 3) (lo g_{c} (z) - 4 lo g_{c} (y))

ln (7) - 2 (ln (4) + ln (32))

What is 2ln(x+13)-ln(x+7) ?
The solution to 2ln(x+13)-ln(x+7) is ln(((x+13)^2)/(x+7))