Answer:
125
Step-by-step explanation:
log2 (24) - log2 (3) = log5 (x)
We know that log a(b) - log a(c) = log a( b/c)
log2 (24/3) = log5 (x)
log2 (8) = log5 (x)
Rewriting 8 as 2^3
log2 (2^3) = log5 (x)
We know that log a ( a^b) = b loga (a) and loga (a) =1
3 log2 (2) = log5 (x)
3 *1 = log5 (x)
3 = log5 (x)
We know log a (b) =c can be written as a^c =b
5^3 = x
125 =x
Answer:
1
Step-by-step explanation:
Given triangle ABC with vertices at points A(2,-4), B(4,-4) and C(4,-2).
1. Rotate this triangle anticlockwise by 90° angle over the origin. This rotation has the rule

then

2. Reflect triangle A'B'C' across the y-axis. This reflection has the rule

then

These are vertices of triangle 1
Answer:
the angle shown is a straight angle value of which is equal to 180°
3x + 30. 6 = 180
3x = 180 - 30. 6
3x = 149.4
<h3>x = 49.8</h3>