louiepoo2846 louiepoo2846
  • 21-10-2019
  • Mathematics
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Solve the following exponential equations.
2(4^x )+ 4^(x+1 )= 342

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sqdancefan
sqdancefan sqdancefan
  • 21-10-2019

Answer:

  x ≈ 2.91644500708

Step-by-step explanation:

The equation can be simplified to ...

  2(4^x) +4(4^x) = 342

  6(4^x) = 342

  4^x = 57

Taking logarithms, we get ...

  x = log₄(57) = log(57)/log(4)

  x ≈ 2.91644500708

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