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son4ous [18]
3 years ago
6

When x=12,y=8. Find x when y=12

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0
To do this you multiply 12 by 12 to get 144.  Now you want to divide 144 by 8.  This gives you 18.  Therefore, when y is equal to 12, x would be equal to 64.
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Option C: The solution set is \{8\}

Explanation:

The expression is 3 \ln 4=2 \ln x

Now, let us find the solution set.

Switch sides, we get,

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Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

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Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

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