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iogann1982 [59]
3 years ago
5

a music store sells a used guitar for $120. This is $25 more than 1/2 the cost of a new guitar of the same brand. what is the co

st of a new guitar?
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

$190.

Step-by-step explanation:

We can write the equation 120=25+1/2n where n is the cost of a new guitar. First, we subtract 25 from both sides to get 95=1/2n. Then, we multiply both sides by 2 to get 190=n. Therefore, the cost of a new guitar is $190.

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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: x = 3

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \:  log_{2}(x - 1)  log_{2}(x + 5)  = 4

\qquad \tt \rightarrow \:  log_{2} \{(x - 1)(x + 5) \} = 4

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\qquad \tt \rightarrow \:  x(x + 7) - 3(x + 7) = 0

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The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

\qquad \tt \rightarrow \: x = 3

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