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dimulka [17.4K]
3 years ago
15

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:

<u><em>Step(i):</em></u>-

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}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      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<br> 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
4.
CaHeK987 [17]

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

8 0
3 years ago
Which choice should i pick<br> A.0.27<br><br> B.0.25<br><br> C.0.07<br><br> D.0.33
Vladimir79 [104]

Answer:

B.0.25

Step-by-step explanation:

7 0
2 years ago
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