You and your friend go to dinner and your total bill us 30$. You both are part of the rewards club and have coupons. your coupon is 10% off the total bill. Your friends coupon is for 5.00 off the total bill. Which coupon should you use to save the most money?

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Ответ:

champton79

18.09.2022

Mathematics

The simplified expression is:

$\ln{x} + \frac{\ln{(x-1)}}{2}$

Step-by-step explanation:

We have those following logarithmic properties:

$\ln{\frac{a}{b}} = \ln{a} - \ln{b}$

$\ln{a*b} = \ln{a} + \ln{b}$

$\ln{a^{n}} = n\ln{a}$

In this problem, we have that:

$\ln{x^{2}(x-1)}^{1/2}$

Applying these properties

$\frac{1}{2}*(\ln{x^{2} + \ln{(x-1)})$

$\ln{x} + \frac{\ln{(x-1)}}{2}$

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