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Popular >

simplify 2ln(5x^3)+ln(2x^2)

Solution

simplify

2 ln (5 x^{3}) + ln (2 x^{2})

Solution

ln (50 x^{8})

Solution steps

2 ln (5 x^{3}) + ln (2 x^{2})

Apply log rule:

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

2 ln (5 x^{3}) = ln ((5 x^{3})^{2})

= ln ((5 x^{3})^{2}) + ln (2 x^{2})

Apply log rule:

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

ln ((5 x^{3})^{2}) + ln (2 x^{2}) = ln (2 x^{2} (5 x^{3})^{2})

= ln (2 x^{2} (5 x^{3})^{2})

Simplify

(5 x^{3})^{2} \cdot 2 x^{2} : 50 x^{8}

= ln (50 x^{8})

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Frequently Asked Questions (FAQ)

What is 2ln(5x^3)+ln(2x^2) ?
The solution to 2ln(5x^3)+ln(2x^2) is ln(50x^8)