The value of x is 1.66
Step-by-step explanation:
Let use revise the rules of exponential and logarithmic equations
1. If y =
, then 
2. 
Use the rules above to solve the problem
∵ 
- Subtract 2 from both sides
∴ 
change the exponential equation to logarithmic equation
∴ 
∵ 
∴ x = 
∴ x = 1.66
The value of x is 1.66
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Answer:
38°
Step-by-step explanation:
Complementary means that they add up to 90
So then to find the measure of angle 2, subtract the measure of angle 1 from 90.
90-52=<u>38</u>
We need to find the center and the radius of

The general circle equation is the following

where
(h,k) is the center and
r is the radius
1. rearrange the equation

2. Add 25 on both sides

3. Factor

Now we have an equation that is very similar to the circle equation, so let's compare them
Center -> (h,k) = (5,-11)
radius -> r = 5
8 and 1 are alternate exterior angles.