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Sphinxa [80]
3 years ago
7

Help plz I don't understand

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0
Question 2 answer is 6
Question 3 answer is 4
Question 4 answer is 6
Question 5 answer is 4
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Step-by-step explanation:

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If 6^4x = 82, what is the value of x?<br> Round your answer to three places.
neonofarm [45]

Answer:

x=0.61485921

Step-by-step explanation:

The given equation is in exponential form:

6^{4x} =82

To find x we need to write it in logarithmic form:

b^{a} =n ⇒ log_{b} n=a

6^{4x} =82 ⇒ log_{ 6 }  82=4x

           2.45943684 = 4x

              \frac{2.45943684}{4} = x

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To prove this, we can substitute the value into the given equation

             6^{4x} =82

6^{4(0.61485921)} =82

               82=82

Therefore, the answer is x=0.61485921

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