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Popular >

simplify 3ln(3)+4ln(b)

Solution

simplify

3 ln (3) + 4 ln (b)

Solution

ln (27 b^{4})

Solution steps

3 ln (3) + 4 ln (b)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

3^{3} = 27

= ln (27 b^{4})

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Frequently Asked Questions (FAQ)

What is 3ln(3)+4ln(b) ?
The solution to 3ln(3)+4ln(b) is ln(27b^4)