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
Do you want 5 and 6 or just 5? 5 is kind of neat.
44.5% = 0.445
4/9 = 0.4444444
You have enough information to put the numbers in order.
0.44 is the smallest number.
0.44444444.... is the next smallest number
0.4445 is bigger than the number above. 5 is in the ten thousandths place. that is bigger than 4 in the thousands place of 4/9
Finally the largest number of all is 0.445 for the same reason given above.
Six
5/12 = 0.416666
0.4
42% = 42/100 = 0.42
0.416
0.4 is the smallest number
0.416 is the next smallest number
0.41666666 is bigger than 0.416 because you are adding a bunch of 6s onto the decimal place.
The largest one is 0.42. You can put these into your calculator to verify the results. For example, 0.42 - 0.4166666 = 0.003344. Any result more than 0 will show that the first number is bigger than the second.
Answer:
2,4
Explanation:
Because a midpoint is the middle of the line
I'd suggest you begin by subtracting 4 / (x-4) from both sides. Doing that would leave you with 1 / (x-4) - 2 / (x+2) = 0.
LCD is (x-4)(x+2). Mult. all three terms by (x-4)(x+2). The resulting equation is
x+2 - 2(x-4) = 0. Then x+2 = 2x - 8 => x = 10
Subst. 10 for x in the original equation to verify that 10 is indeed a solution.
