Question

Solve the following exponential equations. 2(4^x )+ 4^(x+1 )= 342

Answer 1

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