Question

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

Answer 1

x ≈ 2.91644500708

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