The non-algebraic functions are called transcendental functions. This include the logarithmic function. The definition of Logarithmic Function with Base a is as follows:
![For \ x\ \textgreater \ 0, \ a \ \textgreater \ 0, \ and \ a \neq 1 \\ \\ y=log_{a}x \ if \ and \ only \ if \ x=a^{y} \\ \\ Then: \\ \\ f(x)=log_{a}x \\ \\ is \ called \ the \ logarithmic \ function \ with \ base \ a.](https://tex.z-dn.net/?f=For%20%5C%20x%5C%20%5Ctextgreater%20%5C%200%2C%20%5C%20a%20%5C%20%5Ctextgreater%20%5C%200%2C%20%5C%20and%20%5C%20a%20%5Cneq%201%20%5C%5C%20%5C%5C%20y%3Dlog_%7Ba%7Dx%20%5C%20if%20%5C%20and%20%5C%20only%20%5C%20if%20%5C%20x%3Da%5E%7By%7D%20%5C%5C%20%5C%5C%20Then%3A%20%5C%5C%20%5C%5C%20f%28x%29%3Dlog_%7Ba%7Dx%20%5C%5C%20%5C%5C%20is%20%5C%20called%20%5C%20the%20%5C%20logarithmic%20%5C%20function%20%5C%20with%20%5C%20base%20%5C%20a.)
We know that the equations is:
![y=log(10x)](https://tex.z-dn.net/?f=y%3Dlog%2810x%29)
So let's solve each case:
Case 1
![x=\frac{1}{100} \\ \\ y=log(10(\frac{1}{100})) \\ \\ \therefore y=log(\frac{1}{10}) \\ \\ \therefore y=-1 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{100}} \ matches \ to \ \boxed{y=-1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B100%7D%20%5C%5C%20%5C%5C%20y%3Dlog%2810%28%5Cfrac%7B1%7D%7B100%7D%29%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3Dlog%28%5Cfrac%7B1%7D%7B10%7D%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D-1%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5C%20x%3D%5Cfrac%7B1%7D%7B100%7D%7D%20%5C%20matches%20%5C%20to%20%5C%20%5Cboxed%7By%3D-1%7D)
Case 2
![x=\frac{1}{10} \\ \\ y=log(10(\frac{1}{10})) \\ \\ \therefore y=log(1) \\ \\ \therefore y=0 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{10}} \ matches \ to \ \boxed{y=0}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B10%7D%20%5C%5C%20%5C%5C%20y%3Dlog%2810%28%5Cfrac%7B1%7D%7B10%7D%29%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3Dlog%281%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D0%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5C%20x%3D%5Cfrac%7B1%7D%7B10%7D%7D%20%5C%20matches%20%5C%20to%20%5C%20%5Cboxed%7By%3D0%7D)
Case 3
![x=1 \\ \\ y=log(10(1)) \\ \\ \therefore y=log(10) \\ \\ \therefore y=1 \\ \\ So: \\ \\ \boxed{\ x=1} \ matches \ to \ \boxed{y=1}](https://tex.z-dn.net/?f=x%3D1%20%5C%5C%20%5C%5C%20y%3Dlog%2810%281%29%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3Dlog%2810%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D1%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5C%20x%3D1%7D%20%5C%20matches%20%5C%20to%20%5C%20%5Cboxed%7By%3D1%7D)
Case 4
![x=10 \\ \\ y=log(10(10)) \\ \\ \therefore y=log(100) \\ \\ \therefore y=2 \\ \\ So: \\ \\ \boxed{\ x=10} \ matches \ to \ \boxed{y=2}](https://tex.z-dn.net/?f=x%3D10%20%5C%5C%20%5C%5C%20y%3Dlog%2810%2810%29%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3Dlog%28100%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D2%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5C%20x%3D10%7D%20%5C%20matches%20%5C%20to%20%5C%20%5Cboxed%7By%3D2%7D)
Case 5
![x=100 \\ \\ y=log(10(100)) \\ \\ \therefore y=log(1000) \\ \\ \therefore y=3 \\ \\ So: \\ \\ \boxed{x=100} \ matches \ to \ \boxed{y=3}](https://tex.z-dn.net/?f=x%3D100%20%5C%5C%20%5C%5C%20y%3Dlog%2810%28100%29%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3Dlog%281000%29%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D3%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx%3D100%7D%20%5C%20matches%20%5C%20to%20%5C%20%5Cboxed%7By%3D3%7D)
Answer:
25
Step-by-step explanation:
$$$
bxhg hdbhxhfnr bshjbduokkbev indghkdnodgcf
At that point it's c obtuse.
The first one
because like 13+52 = 63