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If 2x x 3y x 5z = 360 then what is the value of x, y, z?
- a)3, 2, 1
- b)1, 2, 3
- c)2, 3, 1
- d)1, 3, 2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If 2xx 3yx 5z= 360 then what is the value of x, y, z?a)3, 2, 1b)1, 2, ...
2x x 3y x 5z = 360
factorise 360 and you will get 360 = 23x32x51
2x x 3y x 5z = 23x32x51
so x=3 , y=2 , z=1
factorise 360 and you will get 360 = 23x32x51
2x x 3y x 5z = 23x32x51
so x=3 , y=2 , z=1
Most Upvoted Answer
If 2xx 3yx 5z= 360 then what is the value of x, y, z?a)3, 2, 1b)1, 2, ...
Given, 2xx 3yx 5z= 360
We need to find the values of x, y and z.
Let's break down 360 into its prime factors:
360 = 2 × 2 × 2 × 3 × 3 × 5
Now, we can rewrite the equation as:
2x × 3y × 5z = 2 × 2 × 2 × 3 × 3 × 5
Comparing the prime factors on both sides, we get:
2x = 2 × 2 × 2
3y = 3 × 3
5z = 5
Simplifying, we get:
2x = 8
x = 4/2 = 2
3y = 9
y = 3/3 = 1
5z = 5
z = 5/5 = 1
Therefore, the values of x, y and z are 2, 1 and 1 respectively, which matches with option A.
We need to find the values of x, y and z.
Let's break down 360 into its prime factors:
360 = 2 × 2 × 2 × 3 × 3 × 5
Now, we can rewrite the equation as:
2x × 3y × 5z = 2 × 2 × 2 × 3 × 3 × 5
Comparing the prime factors on both sides, we get:
2x = 2 × 2 × 2
3y = 3 × 3
5z = 5
Simplifying, we get:
2x = 8
x = 4/2 = 2
3y = 9
y = 3/3 = 1
5z = 5
z = 5/5 = 1
Therefore, the values of x, y and z are 2, 1 and 1 respectively, which matches with option A.
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Community Answer
If 2xx 3yx 5z= 360 then what is the value of x, y, z?a)3, 2, 1b)1, 2, ...
Given: 2xx 3yx 5z= 360
To find: Value of x, y, and z
Solution:
Let's factorize 360 into its prime factors:
360 = 2^3 x 3^2 x 5
Now we can write the given expression as:
2^x x 3^y x 5^z = 2^3 x 3^2 x 5
Comparing the powers of 2 on both sides, we get:
x = 3
Comparing the powers of 3 on both sides, we get:
y = 2
Comparing the powers of 5 on both sides, we get:
z = 1
Therefore, the value of x, y, and z is 3, 2, and 1 respectively.
Hence, the correct answer is option A.
To find: Value of x, y, and z
Solution:
Let's factorize 360 into its prime factors:
360 = 2^3 x 3^2 x 5
Now we can write the given expression as:
2^x x 3^y x 5^z = 2^3 x 3^2 x 5
Comparing the powers of 2 on both sides, we get:
x = 3
Comparing the powers of 3 on both sides, we get:
y = 2
Comparing the powers of 5 on both sides, we get:
z = 1
Therefore, the value of x, y, and z is 3, 2, and 1 respectively.
Hence, the correct answer is option A.
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If 2xx 3yx 5z= 360 then what is the value of x, y, z?a)3, 2, 1b)1, 2, 3c)2, 3, 1d)1, 3, 2Correct answer is option 'A'. Can you explain this answer?
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