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1 year ago

11

Evaluate log4 7 using the change of base formula. Round your answer to the nearest thousandth. Show all work.

1 answer:

uranmaximum [27]1 year ago

3 0

$\log _47\text{ = }$

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3 years ago

Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4

Anettt [7]

<u>ANSWER</u>

$B=63\degree$

<u>EXPLANATION</u>

We want to solve the trigonometric equation;

$tan^2(B)=4$ , where $0\degree \le B \le 90\degree$ .

Taking square root of both sides gives,

$tan(B)=\pm \sqrt{4}$

$tan(B)=\pm 2$

Since B is in the first quadrant, we proceed with;

$tan(B)=2$ , because the tangent ratio is positive in the first quadrant.

$\Rightarrow B =arctan(2)$

$\Rightarrow B =63.43\degree$ .

Correct to the nearest degree,

$B =63\degree$

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