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Lina20 [59]
2 years ago
7

If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

Mathematics
2 answers:
spayn [35]2 years ago
8 0

Answer:

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].

x[-0.699] = 0.3010.

x = 0.3010/-0.699.

x = -0.4306….

x = -0.4 (nearest tenth)

Answer: (c)

Step-by-step explanation:

hope this helps

Triss [41]2 years ago
5 0

Answer:

Solution:

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].

x[-0.699] = 0.3010.

x = 0.3010/-0.699.

x = -0.4306….

x = -0.4 (nearest tenth)

Answer is option (c) -0.4

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This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.

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igor_vitrenko [27]
The answer is 4.

Explanation:

Well, let's break this into pieces.

First, let's work on the first term.

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Multiply all those together, and you get 6,561/32.

Then, if you set that fraction to the power of -2, you get 1,024/43,046,721

Now, let's take the middle term.

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Multiply them together to get 1/108.

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Next, let's focus on the last term.

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Finally, we have to multiply the terms together.

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Answer:

C- where n (greater than or equal to ) 1

Step-by-step explanation:

C- where n (greater than or equal to ) 1

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It's not "any number" because It can't be negative nor a decimal.

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