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Popular >

simplify 2ln(x)+ln(y)+ln(z)

Solution

simplify

2 ln (x) + ln (y) + ln (z)

Solution

ln (x^{2} yz)

Solution steps

2 ln (x) + ln (y) + ln (z)

Apply log rule:

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

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

= ln (x^{2}) + ln (y) + ln (z)

Apply log rule:

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

ln (x^{2}) + ln (y) = ln (x^{2} y)

= ln (x^{2} y) + ln (z)

Apply log rule:

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

ln (x^{2} y) + ln (z) = ln (x^{2} yz)

= ln (x^{2} yz)

Popular Examples

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Frequently Asked Questions (FAQ)

What is 2ln(x)+ln(y)+ln(z) ?
The solution to 2ln(x)+ln(y)+ln(z) is ln(x^2yz)