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emmainna [20.7K]
3 years ago
5

What is the solution to the equation below? Round your answer to two decimal places. 2^3x=91

Mathematics
2 answers:
tatiyna3 years ago
4 0
11.38
(I’m not sure if this was the equation you asked for or not. Sorry if it isn’t ❤️)

2^3 = 8

So:

9x = 91

Divide both sides by 9

x = 91/9
x = 11.38

~~hope this helps~~
Flauer [41]3 years ago
4 0

Answer:

The solution of the equation is x=2.169..  

Step-by-step explanation:

Given : Equation 2^{3x}=91

To find : What is the solution to the equation below?

Solution :

Equation 2^{3x}=91

Taking log both side,

\log(2^{3x})=\log(91)

Apply logarithmic property, \log a^x=x\log a

3x\log(2)=\log(91)

3x=\frac{\log(91)}{\log(2)}

x=\frac{\log(91)}{3\log(2)}

x=2.169..

Therefore, The solution of the equation is x=2.169..

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Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

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