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alekssr [168]
3 years ago
14

What is the exact value of x?

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:

B

Step-by-step explanation:

5\cdot 21^{5x} = 16 \\\ 21^{5x} = \frac{16}{5} \\\\ 21^{5x} = 3.2 \\\ log 21^{5x} = log 3.2 \\\ 5x\cdot log 21 = log 3.2 \\\ 5x = \frac{log 3.2}{log 21} \\\\\ x = \frac{log 3.2}{5\cdot log 21}


I hope I helped you.

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Find the value of x.round to the nearest tenth
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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = 23°

Opposite Leg = <em>x</em>

Hypotenuse = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [sine]:                                                                         \displaystyle sin(23^\circ) = \frac{x}{21}
  2. [Multiplication Property of Equality] Isolate <em>x</em>:                                              \displaystyle 21sin(23^\circ) = x
  3. Rewrite:                                                                                                           \displaystyle x = 21sin(23^\circ)
  4. Evaluate:                                                                                                         \displaystyle x = 8.20535
  5. Round:                                                                                                             \displaystyle x \approx 8.2
7 0
3 years ago
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