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Popular >

simplify ln(x^3)+2*ln(x^2)

Solution

simplify

ln (x^{3}) + 2 \cdot ln (x^{2})

Solution

ln (x^{7})

Solution steps

ln (x^{3}) + 2 ln (x^{2})

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

x^{3} (x^{2})^{2} : x^{7}

= ln (x^{7})

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Frequently Asked Questions (FAQ)

What is ln(x^3)+2*ln(x^2) ?
The solution to ln(x^3)+2*ln(x^2) is ln(x^7)