Answer:
x = 11.5
Step-by-step explanation:
Taking the logarithm base 2 will transform this to a linear equation.
2(2x+7) = 3(2x -3)
0 = 3(2x -3) -2(2x +7) . . . . subtract the left side
0 = 2x -23 . . . . . . . . . . . . . simplify
0 = x - 23/2 . . . . . . . . . . . . divide by 2
11.5 = x . . . . . . . . . . . . . . . . add 11.5
The solution is x = 23/2 = 11.5.
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<em>Check</em>
This value of x makes the equation become ...
4^(2·23/2 +7) = 8^(2·23/2 -3)
4^30 = 8^20 . . . . . true
Answer:
here
Step-by-step explanation:
Answer:
The least common multiple would be 140.
Step-by-step explanation:
The least common multiple is known to be a multiple that is the lowest value that satisfies being a multiple with the other factors given.
The least common multiple was 140 as it was the lowest value that satisfied being a multiple of 14, 10, AND, 20,
14 * 10 = 140
20 * 7 = 140
10 * 14 = 140
3x4.35=13.05
13.05+5.65=18.7
18.7 Is your answer. Hope this helps!