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Popular >

simplify ln(9x^{0.3})

Solution

simplify

ln (9 x^{0.3})

Solution

2 ln (3) + 0.3 ln (x)

Solution steps

ln (9 x^{0.3})

Apply log rule:

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

ln (9 x^{0.3}) = ln (9) + ln (x^{0.3})

= ln (9) + ln (x^{0.3})

Apply log rule:

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

ln (x^{0.3}) = 0.3 ln (x)

= ln (9) + 0.3 ln (x)

ln (9) = 2 ln (3)

= 2 ln (3) + 0.3 ln (x)

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Frequently Asked Questions (FAQ)

What is ln(9x^{0.3}) ?
The solution to ln(9x^{0.3}) is 2ln(3)+0.3ln(x)