Answer:
Step-by-step explanation:
2log(x-3)=log25
log(x-3)²=log25 cancel out log on both sides
(x-3)²=25
x²-6x+9=25
x²-6x+9-25=0
x²-6x-16=0 factorize
x²+2x-8x-16=0
x(x+2)-8(x+2)
(x-8)(x+2)=0
x-8=0 or x+2=0
x=8 or x=-2
x=-2 cannot be considered because of the -ve sign.
x=8.
check
2log(x-3)
2log(8-3)
2log5
log5²=25
therefore LHS=RHS
Answer:
710 oz
Step-by-step explanation:
The first car consumed 21 gallons while the second car consumed 49 gallons. here is the how it's done.
for the first car gallons consumed is 15/50x70= 21 gallons
the second car consumed 35/50x70=49 gallons
The answer is 62^ it reflects angle IK
Answer:
l = 9p/4 , l = 9p/4
Step-by-step explanation:
Given:
Perimeter = 9p
Find:
Length and width
Computation:
Assume;
Length = l
Perimeter = 2(l+b)
9p/2 = l+w
w = 9p/2 - l
Area = lb
Area = l(9p/2 - l)
Using differentiation
l = 9p/4
w = 9p/2 - l
w = 9p/2 - 9p/4
w = 9p/4