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Leona [35]
3 years ago
9

If log 2^x = log 3, then which is the value of x?

Mathematics
1 answer:
natulia [17]3 years ago
8 0

There's a property of logs I want you to remember, that is:

log(a)ᵇ = b*log(a)

We'll be using this property to solve the question

<u>Finding x:</u>

log(2)ˣ = log(3)

x*log(2) = log(3)                                     [using the property mentioned above]

x = log(3) / log(2)                                 [dividing both sides by log(2)]

Hence, the correct answer is option E.

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Supply function: 2p-q-63 and the demand function: (p+30)(q+25)=2584. What is the market equilibrium point?
KATRIN_1 [288]
Equilibrium is point where supply = demand

Solve with substitution.

From supply equation ---> q = 2p - 63

Sub into demand equation ---> (p+30)(2p-63+25) = 2584

Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38

Sub back into supply equation to find q
q = 2(38) - 63
q = 13

Answer: Equilibrium is 13 units sold at price of $38.
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The way i do it, is sort of like this :

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explanation:

50.00

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30.46

----------------

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