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Popular >

simplify ln((2)^2(3-(2)))

Solution

simplify

ln ((2)^{2} (3 - (2)))

Solution

2 ln (2)

+1

Decimal Notation

1.38629 \dots

Solution steps

ln ((2)^{2} (3 - (2)))

Apply log rule:

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

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

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

Apply log rule:

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

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

= 2 ln (2) + ln (3 - 2)

ln (3 - 2) = 0

= 2 ln (2) + 0

2 ln (2) + 0 = 2 ln (2)

= 2 ln (2)

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Frequently Asked Questions (FAQ)

What is ln((2)^2(3-(2))) ?
The solution to ln((2)^2(3-(2))) is 2ln(2)