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Popular >

simplify ln(3(10x^2)^x)

Solution

simplify

ln (3 (10 x^{2})^{x})

Solution

ln (3) + x ln (10 x^{2})

Solution steps

ln (3 (10 x^{2})^{x})

Apply log rule:

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

ln (3 (10 x^{2})^{x}) = ln (3) + ln ((10 x^{2})^{x})

= ln (3) + ln ((10 x^{2})^{x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((10 x^{2})^{x}) = x ln (10 x^{2})

= ln (3) + x ln (10 x^{2})

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Frequently Asked Questions (FAQ)

What is ln(3(10x^2)^x) ?
The solution to ln(3(10x^2)^x) is ln(3)+xln(10x^2)