Solve the following equations. 43xx−1 = 32

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

This is the answer.

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Solve for x (2^2/x) (2^4/x) = 2^12

earnstyle [38]

$\textsf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

$\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12}$

$\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12}$

$\qquad \sf \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12}$

Now, since the base on both sides are equal, therefore their exponents are equal as well ~

$\qquad \sf \dashrightarrow \: \dfrac{6}{x} = 12$

$\qquad \sf \dashrightarrow \:x = \dfrac{6}{12}$

$\qquad \sf \dashrightarrow \:x = \dfrac{1}{2}$

$\qquad \sf \dashrightarrow \:x = 0.5$

Hope you got the required Answer ~

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1 year ago

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timurjin [86]

85,000 * .05 = 4,250.00

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2 years ago

When testing for differences between treatment means, a confidence interval is computed with __________________?

KIM [24]

The confidence interval is based on mean square error. The mean squared error (MSE) of an estimator measures the average of the squares of the errors or deviations. MSE is calculated by the formula attached in the picture, where Xbar is a vector of predictions, X is the vector of predicted values.