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.
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)
Y.mamaki said:
9 years ago
=17^3.5 * 17^*=17^8.
=17^3.5* * =17^8.
=17*= 17^8-3.5.
=17*= 4.5.
Answer =4.5.
=17^3.5* * =17^8.
=17*= 17^8-3.5.
=17*= 4.5.
Answer =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)
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)
Aravindhsvcoe said:
1 decade ago
a^m+a^n=a^m+n.according this formula sum of LHS power is equal to RHS power.i.e.3.5+4.5 = 8.
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)
Sid said:
1 decade ago
(2^n * 6^ m+1 * 2^n+1 * 3^2m)/ (3^-n * 6^2m * 2^4+m)=181398528 then the value of n is?
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)
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)
Maneesha said:
1 decade ago
4(power of 3.5)
17 to the power of x in the value is
17 to the power of x in the value is
(1)
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