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Popular >

simplify 5ln(a)+6ln(b)

Solution

simplify

5 ln (a) + 6 ln (b)

Solution

ln (a^{5} b^{6})

Solution steps

5 ln (a) + 6 ln (b)

Apply log rule:

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

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

= ln (a^{5}) + 6 ln (b)

Apply log rule:

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

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

= ln (a^{5}) + ln (b^{6})

Apply log rule:

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

ln (a^{5}) + ln (b^{6}) = ln (a^{5} b^{6})

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

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Frequently Asked Questions (FAQ)

What is 5ln(a)+6ln(b) ?
The solution to 5ln(a)+6ln(b) is ln(a^5b^6)