Answer:
(d) f(x) = log₆(x)
Step-by-step explanation:
If we use y in place of f(x), we see that ...
x = 6^y
Taking logs of both sides, we get ...
log(x) = y·log(6)
y = log(x)/log(6)
y = log₆(x) . . . . . . . using the change of base formula
f(x) = log₆(x)
_____
Or you can get there more directly using the relation between logs and exponentials:
Answer:
107%
Step-by-step explanation:
Emma spending 7% more on the sweater than the shoes can be represented by x + 7%, where x is the price of the shoes.
The shoes are worth 100%, or one whole, because you can't buy half a shoe or more than one whole shoe, etc.
So to find how much more the sweater is, add 100% to 7%, or how much more the sweater is.
100% + 7% = 107%
The cost of the sweater is 107% of the cost of the shoes.
Your answer is 1/2
Hope this helps!
Step-by-step explanation:
If Q is the midpoint of PR
Then PQ + QR = PR
(6x + 25) + (16 - 3x)
group the same terms and add them
(6x - 3x) + (25 + 16)
Hence PR = (3x + 41)
But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;
; 6x + 25 = 16 - 3x
; 6x + 3x = 16 - 25...;9x = -9
Hence the value of...x = -1
Then substitute the value of x into the equation of PR....3x + 41
;3(-1) + 41
;-3 + 41
Hence PR = 38
