Answer:
Solution
Step-by-step explanation:
Rewrite logx729= 3 is an exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb(x)= y is equivalent to b^y = x.
X^3 = 729
Take cube root on both side and we get
x= 3√729
now we firstly simplify the 3√729
Rewrite 729 as 9^3
x = 3√9^3
pull terms out from under the redical, assuming positive real numbers
x=9
verify each of the solution by substituting them into logx729=3 and solving.
x= 9
Answers:
x = 3
y = 9
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Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
So,
"The sum of five times a number and -6"
5n + -6 or 5n - 6
"is -2"
= -2
5n - 6 = -2
Add 6 to both sides.
5n = 4
Divide both sides by 5.
Answer:
The solution is (4, 0)
Step-by-step explanation:
Using Linear combination method to solve:
Since "e" have the same coefficient in both equation with opposite operator; we will add.
Divide both side by coefficient of d which is 3
Since d = 4; put 'd' into any of the equation to get 'e'
Therefore, the solution is (4, 0)
Answer:
The ratio of boys to girls to 5:7
Let the number of boys be 5x
Let the number of girls be 7x
5x = 30
x = 6
Now just plug in 6 for the x in 7x
and number of girls 7 x 6 = 42
