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asuwafohjames

The value of x using logarithmic techniques to solve the equation is -5.18.

What is a logarithm?

A logarithm is a power to which a number must be raised in order to get some other numbers

Given equation:

  • 7ˣ = 3⁽ˣ⁺⁴⁾

To solve the equation above using a logarithm, first, we need to take the common logarithm of both sides.

  • log7ˣ = log3⁽ˣ⁺⁴)
  • xlog⁷ = (x+4)log³
  • x(0.845) = (x+4)0.477
  • 0.845x = 0.477x-1.908
  • 1.908 = 0.477x-0.845
  • -0.368x = 1.908
  • x = 1.908/-0.368
  • x = -5.18

Hence, the value of x using logarithmic techniques to solve the equation is -5.18.

Learn more about logarithm here: https://brainly.com/question/25710806

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