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777dan777 [17]
3 years ago
6

O log2 3x + log2 3=2

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

\large\boxed{x=\dfrac{4}{9}}

Step-by-step explanation:

\log_23x+\log_23=2\\\\\bold{DOMAIN}:\\3x>0\to x>0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_2\bigg[(3x)(3)\bigg]=2\\\\\log_29x=2\qquad\text{use}\ \log_ab=c\iff a^c=b\\\\\log_29x=\log_22^2\\\\\log_29x=\log_24\iff9x=4\qquad\text{divide both sides by 9}\\\\\dfrac{9x}{9}=\dfrac{4}{9}\\\\\boxed{x=\dfrac{4}{9}}\in \bold{DOMAIN}

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 ∠O  ≅  ∠U is third statement which is congruent .

What is congruent triangle?

  • Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.
  • Congruent refers to having precisely the same form and size.
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ΔONP and ΔUTV are congruent .

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