All real numbers between -5 and 7
1 answer:
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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.
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The graph shows the left side of the equation is equal to the right side for x=2.
9514 1404 393
Answer:
- 2
- 32
- 27
Step-by-step explanation:
The number 2 1/4 is split into the sum 2 + 1/4, then multiplied by 3/8. This gives ...
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Of course, fractions are multiplied in the usual way: