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Varvara68 [4.7K]
3 years ago
10

Solve for the following equation step by step and justify your steps when using an exponential property.

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

x = \frac{5}{7}

using the ' laws of exponents '

• a^{m} × a^{n} = a^{( m + n )}

•  a^{m} ÷ a^{n} = a^{(m - n)}

• (a^{m})^n = a^{mn}

7^{2} × 7^{3} = 7^{5} ÷ 7^{3x} = 7^{5 - 3x}

7^{4x} = 7^{5 - 3x}

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x =\frac{5}{7}




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Step-by-step explanation:

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The question is not complete, below is a complete question with the accompanying diagram:

Instructions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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From the question and attached diagram, the following information is given:

AB is parallel to CD

EF is perpendicular to AB

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<em>Note, the angle formed between a line and a perpendicular line = 90°</em>

From the diagram:

Number of 90° angle formed by intersection of perpendicular line EF and line AB = ∠1, ∠2, ∠3 and ∠4 = 4 angles

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