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Popular >

simplify 3ln(2)+6ln(y)

Solution

simplify

3 ln (2) + 6 ln (y)

Solution

ln (8 y^{6})

Solution steps

3 ln (2) + 6 ln (y)

Apply log rule:

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

3 ln (2) = ln (2^{3})

= ln (2^{3}) + 6 ln (y)

Apply log rule:

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

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

= ln (2^{3}) + ln (y^{6})

Apply log rule:

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

ln (2^{3}) + ln (y^{6}) = ln (2^{3} y^{6})

= ln (2^{3} y^{6})

2^{3} = 8

= ln (8 y^{6})

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Frequently Asked Questions (FAQ)

What is 3ln(2)+6ln(y) ?
The solution to 3ln(2)+6ln(y) is ln(8y^6)