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Lelechka [254]
3 years ago
15

Using the logarithm, solve the following equation for x. 6400 = (8) (2^4x)

Mathematics
1 answer:
expeople1 [14]3 years ago
8 0

Answer:

x = 2.411

Step-by-step explanation:

6400 = (8) (2^(4x))

Divide both sides by 8 to get;

6400/8 = (2^(4x))

800 = (2^(4x))

Using logarithms, we can solve as;

Log 800 = 4xLog 2

4x = Log800/Log2

4x = 2.9031/0.3010

4x = 9.6449

x = 9.6449/4

x ≈ 2.411

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Step-by-step explanation:

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