Answer:
x=1
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
We know that loga(b) + loga(c) = loga(bc)
log_4(x + 3)x = 1
Raise each side to the base of 4
4^log_4(x + 3)x = 4^1
(x+3)x = 4
x^2 +3x = 4
Subtract 4 from each side
x^2 +3x -4 = 0
Factor
(x+4) (x-1) =0
Using the zero product property
x= -4 x=1
But x cannot be negative since logs cannot be negative
x=1
Answer:
x=20
Step-by-step explanation:
x-19=1
x=1+19
x=20
Answer:
13a: Measure of angle 1 is 120 degrees
13b: Angle 2 is 60 degrees
Step-by-step explanation:
Angle 1 is alternate exterior (so in a parallel pair they are equal) to the angle on line m given as 120 deg.
Angle 2 is 180 minus 120= 60 Sum of the two angles must equal 180.
Answer:
A = pi r^2
Step-by-step explanation:
The formula for area of a circle is given by
A = pi r^2