<u>Answer:</u>
The simplified form of
is ![19-52x](https://tex.z-dn.net/?f=19-52x)
<u>Solution:</u>
To find the value of
![7 - 2(5 - 2x) -10x + 25 -4x - 3 4x - 3](https://tex.z-dn.net/?f=7%20-%202%285%20-%202x%29%20-10x%20%2B%2025%20-4x%20-%203%204x%20-%203)
According to the BODMAS rule, this can be written as
![7-10+4x-10x+25-4x-34x-3](https://tex.z-dn.net/?f=7-10%2B4x-10x%2B25-4x-34x-3)
Grouping the x terms together,
![=7-10+25-3-4x-10x-4x-34x](https://tex.z-dn.net/?f=%3D7-10%2B25-3-4x-10x-4x-34x)
On solving we get,
![=19-52x](https://tex.z-dn.net/?f=%3D19-52x)
The simplified form of ![7 - 2(5 - 2x) -10x + 25 -4x - 3 4x - 3 = 19-52x](https://tex.z-dn.net/?f=7%20-%202%285%20-%202x%29%20-10x%20%2B%2025%20-4x%20-%203%204x%20-%203%20%3D%2019-52x)
(5x^2-21x-20)/(5x^2-16x-16)
((x-5)(5x+4))/((x-4)(5x+4))
(x-5)/(x-4)
I suppose that when you write "log^6" , you want to say log₆
Change of base formula:
loga b=logc b / logc a
log₆ 120=ln 120 / ln 6=2.67
Answer: log₆ 120=2.67