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Popular >

simplify 5ln(7)-ln(3)

Solution

simplify

5 ln (7) - ln (3)

Solution

ln (\frac{16807}{3})

+1

Decimal Notation

8.63093 \dots

Solution steps

5 ln (7) - ln (3)

Apply log rule:

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

5 ln (7) = ln (7^{5})

= ln (7^{5}) - ln (3)

Apply log rule:

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

ln (7^{5}) - ln (3) = ln (\frac{7 ^{5}}{3})

= ln (\frac{7 ^{5}}{3})

7^{5} = 16807

= ln (\frac{16807}{3})

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Frequently Asked Questions (FAQ)

What is 5ln(7)-ln(3) ?
The solution to 5ln(7)-ln(3) is ln(16807/3)