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Popular >

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

Solution

simplify

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

Solution

ln (2) + (2 + 2 x) ln (3)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (2) + (2 + 2 x) ln (3)

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Frequently Asked Questions (FAQ)

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