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Popular >

simplify 3ln(x+7)-ln(x+8)

Solution

simplify

3 ln (x + 7) - ln (x + 8)

Solution

ln (\frac{( x + 7 ) ^{3}}{x + 8})

Solution steps

3 ln (x + 7) - ln (x + 8)

Apply log rule:

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

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

= ln ((x + 7)^{3}) - ln (x + 8)

Apply log rule:

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

ln ((x + 7)^{3}) - ln (x + 8) = ln (\frac{( x + 7 ) ^{3}}{x + 8})

= ln (\frac{( x + 7 ) ^{3}}{x + 8})

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Frequently Asked Questions (FAQ)

What is 3ln(x+7)-ln(x+8) ?
The solution to 3ln(x+7)-ln(x+8) is ln(((x+7)^3)/(x+8))