The base of a logarithm should always be positive and can't be equal to 1, so the domain is 0 < <em>x</em> < 1 or <em>x</em> > 1.

Write both sides as powers of 1/<em>x</em> :

Recall that
, so that



Take the 5th root of both sides, recalling that 3⁵ = 243, so
![x=\sqrt[5]{\dfrac1{243}}=\boxed{\dfrac13}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B5%5D%7B%5Cdfrac1%7B243%7D%7D%3D%5Cboxed%7B%5Cdfrac13%7D)
The exact value of sin 5π/4 is 0. 0677
<h3>How to find the value</h3>
It is important to note that π = 3. 142
Let's find sin 5π
Substitute the value
sin 5π = sin (5 × 3. 142) = sin 15. 71
= 
Find the sine of the number
= 
= 
Thus, the exact value of sin 5π/4 is 0. 0677
Learn more about trigonometric ratio here:
brainly.com/question/24349828
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Answer:
3 is the missing value
Step-by-step explanation:
Given

Required
Complete the blank
The model is not given; but the question can still be solved.
We have:

Add 8 to 4

Add 24 to 12

Divide both sides by 12

Rewrite as:

Hence, the blank will be completed with 3
Answer:
3rd option
Step-by-step explanation:
Given
y +
= 6 ( multiply through by 4 to clear the fraction
4y + 3 = 24 ( subtract 3 from both sides )
4y = 21 ( divide both sides by 4 )
y =
= 5 