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2log2(x + 15)_log2x=6​

User Jamelia
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2 Answers

7 votes

Answer:

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2log2(x + 15)_log2x=6​-example-1
User Maged Makled
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5.6k points
3 votes

9514 1404 393

Answer:

x = 9 or 25

Explanation:

Taking antilogs and solving the quadratic, you have ...


((x+15)^2)/(x)=2^6\\\\x^2 +30x +225 = 64x\qquad\text{multiply by x}\\\\x^2 -34x +225 = 0\qquad\text{subtract $64x$}\\\\(x -25)(x -9)=0\qquad\text{factor}\\\\\boxed{x=25\quad\text{or}\quad x=9} \qquad\text{values that make the factors 0}

User Mebin Joe
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4.2k points