Aptitude - Surds and Indices - Discussion
Discussion Forum : Surds and Indices - General Questions (Q.No. 1)
1.
(17)3.5 x (17)? = 178
Answer: Option
Explanation:
Let (17)3.5 x (17)x = 178.
Then, (17)3.5 + x = 178.
3.5 + x = 8
x = (8 - 3.5)
x = 4.5
Discussion:
18 comments Page 1 of 2.
Glory said:
3 years ago
Thanks everyone.
(4)
Rishikesh Agrawani said:
8 years ago
Just look at the below simple derivation.
a.a.a.......m times = a^m,
a.a.a.......n times. = a^n,
(a.a.a.......m times).(a.a.a.......n times) = a.a.a......m+n times = a^(m+n).
Now we got,
a^m . a^n = a^(m+n).
Applying the above formula to the given question,
17^3.5 . 17^x = 17^8,
17^(3.5+x) = 17^8,
3.5 + x = 8,
x = 4.5.
a.a.a.......m times = a^m,
a.a.a.......n times. = a^n,
(a.a.a.......m times).(a.a.a.......n times) = a.a.a......m+n times = a^(m+n).
Now we got,
a^m . a^n = a^(m+n).
Applying the above formula to the given question,
17^3.5 . 17^x = 17^8,
17^(3.5+x) = 17^8,
3.5 + x = 8,
x = 4.5.
(4)
Kilama Charles said:
9 months ago
Thanks all for giving an explanation.
(3)
Vaishnavi said:
1 year ago
(17)^3.5 * 17^x = 17^8.
17^x = 17^8/17^3.5,
17^x = 8 - 3.5,
x = 4.5.
17^x = 17^8/17^3.5,
17^x = 8 - 3.5,
x = 4.5.
(3)
Vijay said:
4 years ago
Yes, A^m * A^n = A^m+n.
(2)
Harry said:
7 years ago
Please explain the calculation of 17^3.5.
(2)
Swati said:
1 decade ago
Simple calculation is:
(17)3.5 x (17)x = (17)8.
So, 3.5+x = 8.
Means x = 8-3.5.
x = 4.5.
(17)3.5 x (17)x = (17)8.
So, 3.5+x = 8.
Means x = 8-3.5.
x = 4.5.
(1)
Ma awa barry said:
1 decade ago
(17)3.5 x(17)x = (17)8.
Therefore,(17)3.5+x = (17)8.
x = (17)8-3.5.
x = (17)4.5.
Therefore,(17)3.5+x = (17)8.
x = (17)8-3.5.
x = (17)4.5.
(1)
Mithun said:
1 decade ago
As per the laws of exponential (x)y.(x)m = (x)y+m.
(17)3.5*(17)x = (17)8.
3.5 + x = 8.
X = 8 - 3.5.
X = 4.5.
(17)3.5*(17)x = (17)8.
3.5 + x = 8.
X = 8 - 3.5.
X = 4.5.
(1)
Taniya said:
1 decade ago
@Mithun said the formula (x)y.(x)m = (x)y+m.
But in the second step when value are put then m is not write in the place after 17Ã-8 why?
But in the second step when value are put then m is not write in the place after 17Ã-8 why?
(1)
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