X = 1 is the correct answer.
Using the log properties, remember that Log(base2)2 = 1
3log(base2)2x = 3
divide both sides by 3
log(base 2)2x = 1
log(base2)2 = 1
1 * x = 1
x = 1
Answer:
Step-by-step explanation:
Let's call the numbers "<em>tu</em>", where<em> t</em> is the tens digit and <em>u</em> is the units digit.
We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.
Answer:
x = 1 + sqrt(89) or x = 1 - sqrt(89)
Step-by-step explanation:
Solve for x:
(x - 9) (x + 7) = 25
Expand out terms of the left hand side:
x^2 - 2 x - 63 = 25
Add 63 to both sides:
x^2 - 2 x = 88
Add 1 to both sides:
x^2 - 2 x + 1 = 89
Write the left hand side as a square:
(x - 1)^2 = 89
Take the square root of both sides:
x - 1 = sqrt(89) or x - 1 = -sqrt(89)
Add 1 to both sides:
x = 1 + sqrt(89) or x - 1 = -sqrt(89)
Add 1 to both sides:
Answer: x = 1 + sqrt(89) or x = 1 - sqrt(89)
Peta has 10 plums. The second sentence is unnecessary.
Answer:
45
Step-by-step explanation:
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