Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
180
Because 120 divided by 2 is 60.
And 120 + 60 is 180
Answer:
Step-by-step explanation:
b/c we know that these triangles both have equal sides... that is given that <u>ab</u> and<u> be</u> are the same length. and that <u>be </u>and <u>cd</u> are parallel , we know that they both are isosceles triangles and that the base angles are the same. The side on <u> ad </u>and<u> ae</u> have equal angles.
so we can make the equation
2a +56 = 180 (b/c we know that around a triangle it's 180°
2 a = 124
a = 62
so ∠ BAE = 62°
:)
Let's set it up like this:

Multiply both sides by



We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:

The variable

can be both positive or negative.
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />
The solution is C. x is less than negative 2.