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

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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