Solve the following exponential equations.

2 (4^x) + 4^ (x+1) = 342

Question

Ethan Cruz

Mathematics

8 October, 10:49

Solve the following exponential equations.

2 (4^x) + 4^ (x+1) = 342

+3

Answers (1)

Know the Answer?

Yadiel Lloyd · Answer 1

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

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

Solve the following exponential equations.

2 (4^x) + 4^ (x+1) = 342