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love history [14]
3 years ago
10

Lynn is trying to fine the best deal on bananas. Two grocery stores each have the fruit on sale. Store A has bananas 2 pounds fo

r $0.88. Store B has bananas 5 pounds for $2.50. What is the cost per pound of bananas at each store? Which store has the better deal
Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

B has bananas 5 pounds for $2.50. What is the cost per

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<img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%20%3D%20ln%205" id="TexFormula1" title="e^{2x} = ln 5" alt="e^{2x} = ln 5" align=
KiRa [710]
e ^{2x} = ln5

Solve for the real domain

e ^{2x} = ln(5)

if f(x) =g(x), then ln(f(x))= ln(g(x))

ln(e ^{2x} ) = ln(ln(5))

Solve : <span>ln(e ^{2x} ) = ln(ln(5))
</span>
use the logarithmic definition :

ln(e^{f(x)} ) = f(x)

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

2x=ln(ln(5))

Divide both sides by 2 :

\frac{2x}{2} = \frac{ln(ln(5))}{2}

x= \frac{ln(ln(5))}{2}

hope this helps!

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