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3 years ago

Evaluating Logarithms in Exercise, evaluate the logarithm without using a calculator. See Example 8.

Mathematics

1 answer:

Korvikt [17]3 years ago

5 0

7 to what power is 49? 49 is 7 squared so the answer is: 2

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Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago

Which is the difference of 21 1/4 - 18 2/4 A 2 1/4 B 2 2/4 C 2 3/4 D 3 1/4

PSYCHO15rus [73]

So when you change the mixed numbers into improper fractions, they become 85/4 and 74/4. Your new problem is 85/4-74/4. Basically 85-74. That equals 9. So the improper fraction answer is 9/4. We now make that back into a mixed number, creating 2 1/4, or A.

8 0

3 years ago

Simplify enter your answer

ioda

Answer: 5/14

Explanation:
19-14=5

3 0

3 years ago

CaHeK987 [17]

,,......................................

8 0

3 years ago

Which choice should i pick A.0.27 B.0.25 C.0.07 D.0.33

Vladimir79 [104]

Answer:

B.0.25

Step-by-step explanation:

7 0

2 years ago