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Popular >

simplify 5ln(2)-5ln(-2)

Solution

simplify

5 ln (2) - 5 ln (- 2)

Solution

ln (- 1)

Solution steps

5 ln (2) - 5 ln (- 2)

Apply log rule:

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

5 ln (2) = ln (2^{5})

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{2 ^{5}}{( - 2 ) ^{5}} = - 1

= ln (- 1)

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Frequently Asked Questions (FAQ)

What is 5ln(2)-5ln(-2) ?
The solution to 5ln(2)-5ln(-2) is ln(-1)