Answer:
5/18
Step-by-step explanation:
note: 5/9 is the same as 10/18 (we get this by multiplying both numerator and denominator by 2)
hence
5/9-5/18
= 10/18 - 5/18
= (10-5) / 18
= 5/18
Given: 3^(x − 4) = 6
To find: Solution to the given expression using change of base formula
Answer: The given expression is 3^(x − 4) = 6 Taking log on both sides, we get - log(3^(x − 4)) = log6
(x - 4) log3 = log6
x - 4 = log6/ log3
x - 4 = (∵ change of base formula)
x - 4 = 1.631
x = 5.631
Thus x = 5.631 is the answer in the nearest thousandth.
Answer:
26 units
Step-by-step explanation:
If point F is on the line segment EG, then EF+FG = EG
Given
FG=8,
EF=2x+4
EG=4x−10
Substitute the given values into the formula;
2x+4+8 = 4x−10
2x+12 = 4x-10
collect like terms
2x-4x = -10-12
-2x = -22
x = 22/2
x =11
Since EF = 2x+4
EF = 2(11)+4
EF = 22+4
EF = 26
Hence the numerical length of EF is 26 units
