SOLUTION: how to you write 3 times the natural logarithm of x to the third times y plus 2 times the natural logarithm of y times z to the third as a single natural logarithm?
so 3*ln(x^(3
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-> SOLUTION: how to you write 3 times the natural logarithm of x to the third times y plus 2 times the natural logarithm of y times z to the third as a single natural logarithm?
so 3*ln(x^(3
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Question 369739: how to you write 3 times the natural logarithm of x to the third times y plus 2 times the natural logarithm of y times z to the third as a single natural logarithm?
so 3*ln(x^(3)y) + 2*ln(yz^2)
I know using the power rule that the 3 and 2 can be moved to
ln(x^(3)y)^3 + ln(yz^2)^2
i also know about the product rule but i don't know how far this can be simplified because of the parentheses around the (x^(3)y) and (yz^2).
You can put this solution on YOUR website! so 3*ln(x^(3)y) + 2*ln(yz^2)
I know using the power rule that the 3 and 2 can be moved to
ln(x^(3)y)^3 + ln(yz^2)^2
.
So far, so good!
Next, we distribute the exponent to terms inside the parentheses:
ln((x^3)^3y^3) + ln(y^2(z^2)^2)
ln(x^9y^3) + ln(y^2z^4)
ln((x^9y^3)(y^2z^4))
ln(x^9y^5z^4)
