Answer:
1.6
Step-by-step explanation:
1.6
Answer:
x = 2
Step-by-step explanation:
The relevant rule of logarithms is ...
log(a/b) = log(a) -log(b)
This lets us combine the logs on the left to get ...
log((6 +7x)/(3x -2)) = log(5)
Taking anti-logs gives ...
(6 +7x)/(3x -2) = 5
6 +7x = 5(3x -2) . . . . . multiply by (3x -2)
7x +6 = 15x -10 . . . . . eliminate parentheses
8x = 16 . . . . . . . . . . . add 10-7x to both sides
x = 2 . . . . . . . . . . . . . divide by 8
The solution is x = 2.
_____
The graph shows the left side of the equation is equal to the right side for x=2.
100 - 80 = 20%
She ran 20% of the journey
20% x 9km = 0.2 x 9 = 1.8 km
Answer: She ran 1.8 km