Answer:

Step-by-step explanation:
One of the rules of logarithms is ...
log(a^b) = b·log(a)
So ...

In an equation the Left hand side must equal the right hand side
4(5y-8-2)=185-15
20y-32-8=170
20y=170+32+8
20y=210
Therefore y=10,5
When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side
It is a similar triangle so the side length of the smaller triangle (x and x-2) are in the same ratio as the bigger triangle (2x+5 and 2x-1). As the ratio is the same, you can equate them and solve for x.
- the type of pair is vertical angle.
- to find x:
-- vertical angles are equal.
4x + 10 = 5x - 1
10 = x - 1
x = 11
Hello!
First, let's write the problem.

Subtract 10 from both sides.


Divide both sides by 9.


When we got absolute value, we are going to get two results.

and

Let's solve the first one,

Subtract 8 from both sides.


Let's solve the second one.

Subtract 8 from both sides.


Let's combine the ranges.

The attachment shows how would you graph it.
You can feel free to let me know if you have any questions regarding this.
Thanks!
- TetraFish