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Popular >

simplify ln(sin(3)x^5)

Solution

simplify

ln (sin (3) x^{5})

Solution

ln (sin (3)) + 5 ln (x)

Solution steps

ln (sin (3) x^{5})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (sin (3)) + 5 ln (x)

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Frequently Asked Questions (FAQ)

What is ln(sin(3)x^5) ?
The solution to ln(sin(3)x^5) is ln(sin(3))+5ln(x)