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Popular >

simplify 6ln(5)-4ln(3)

Solution

simplify

6 ln (5) - 4 ln (3)

Solution

ln (\frac{15625}{81})

+1

Decimal

5.26217 \dots

Solution steps

6 ln (5) - 4 ln (3)

Apply log rule:

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

6 ln (5) = ln (5^{6})

= ln (5^{6}) - 4 ln (3)

Apply log rule:

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

4 ln (3) = ln (3^{4})

= ln (5^{6}) - ln (3^{4})

Apply log rule:

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

ln (5^{6}) - ln (3^{4}) = ln (\frac{5 ^{6}}{3 ^{4}})

= ln (\frac{5 ^{6}}{3 ^{4}})

\frac{5 ^{6}}{3 ^{4}} = \frac{15625}{81}

= ln (\frac{15625}{81})

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Frequently Asked Questions (FAQ)

What is 6ln(5)-4ln(3) ?
The solution to 6ln(5)-4ln(3) is ln(15625/81)