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3 years ago

Solve 4^(x+2) = 12 for x using the change of base formula log base b of y equals log y over log b.

Mathematics

2 answers:

nalin [4]3 years ago

8 0

Answer:

x=ln(12)/ln(4)-2

Step-by-step explanation:

4^(x+2)=12

x+2=ln(12)/ln(4)

x=ln(12)/ln(4)-2

Lelu [443]3 years ago

7 0

Answer:

$x \approx -0.208$

Step-by-step explanation:

By applying logarithms to each side of the equation and some algebraic handling:

$x+2 = \log_{4} 12$

$x + 2 = \frac{\log_{10} 12}{\log_{10} 4}$

$x = \frac{\log_{10}12}{\log_{10}4} - 2$

$x \approx -0.208$

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How do you simplify 3(j-2k)+4 ?

masha68 [24]

Answer: 3j-6k+4

Step-by-step explanation:

First you have to distribute the 3 to the j and the -2k since they are both in the parentheses. So it would look like (3*j) +(-2k*3)+4 and if you simplify that it is 3j-2k+4. After that there are no like terms so that is your answer.

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3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vedmedyk [2.9K]

Answer:

416025

Step-by-step explanation:

For confidence interval of 99%, the range is (0.005, 0.995). Using a z-table, the z-score for 0.995 is 2.58.

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\\ $n = \left(\frac{\texttt{z-score}}{\texttt{margin of error}} \right )^2\cdot p\cdot (1-p) \\ = \left(\frac{2.58}{0.002} \right )^2\cdot 0.5\cdot (1-0.5)=416025$

So, sample size required is 416025.

4 0

3 years ago

NEED HELP! ASAP! 50 POINTS!

Lerok [7]

Answer:

$y=13\text{ miles per gallon}$

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

$y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}$