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Usimov [2.4K]
3 years ago
13

Solution set answer...............

Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer:

x= 3/2

Step-by-step explanation:

log3(x) + log3(2x-1) =1

We know that log a+log b = log ab

log3((x)(2x-1)) = 1

Raise each side to the base 3

3^log3((x)(2x-1)) = 3^1

x*(2x-1) = 3^1

Distribute

2x^2 -x = 3

Subtract 3 from each side

2x^2 -x-3 = 3-3

2x^2 -x-3 = 0

Factor

(2x-3) (x+1) =0

Using the zero product property

2x-3 =0   x+1 =0

2x=3          x=-1

x = 3/2         x =-1

But we cannot take logs of negatives  ( as we see when we put it back in the original equation)

so x=-1 is an extraneous solution

x= 3/2

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8 0
3 years ago
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Answer:

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4 0
4 years ago
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3 years ago
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arthur wants to buy an item that costs p dollars before tax. using a 6% sales tax rate, write two different expressions that rep
Mkey [24]

For this case we have the following variable:

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The expression for the 6% tax is given by:

\frac{6}{100} p

Or equivalently:

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p + \frac{6}{100} p

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p + \frac{6}{100} p

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Expression 2:

p + 0.06p

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100 + 6

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Since the cost is the same, then the expressions are the same.

Answer:

Two different expressions that model the problem are:

p + \frac{6}{100} p

p + 0.06p

8 0
3 years ago
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