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Popular >

simplify 5ln(3)-ln(3^5)

Solution

simplify

5 ln (3) - ln (3^{5})

Solution

0

Solution steps

5 ln (3) - ln (3^{5})

Apply log rule:

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

5 ln (3) = ln (3^{5})

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

Apply log rule:

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

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

= ln (\frac{3 ^{5}}{3 ^{5}})

Apply rule

\frac{a}{a} = 1

= ln (1)

Apply log rule:

lo g_{a} (1) = 0

= 0

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Frequently Asked Questions (FAQ)

What is 5ln(3)-ln(3^5) ?
The solution to 5ln(3)-ln(3^5) is 0