Aptitude - Surds and Indices - Discussion

Discussion Forum : Surds and Indices - General Questions (Q.No. 4)
4.
If 5a = 3125, then the value of 5(a - 3) is:
25
125
625
1625
Answer: Option
Explanation:

5a = 3125       5a = 55

a = 5.

5(a - 3) = 5(5 - 3) = 52 = 25.

Discussion:
18 comments Page 1 of 2.

Girish said:   1 decade ago
Also 5a-3 = 5a/53 = 3125/125 = 25

Girish said:   1 decade ago
Above can be read as 5^a-3 = 5^a/5^3 = 3125/125 = 25

Shridhar naik said:   1 decade ago
5^(a-3)=5^a*5^(-3)=3125/125=25

Bisu said:   1 decade ago
Also can be solved.

5^a = 3125.

5^(a-3) = ?

==>5^(a-3) = 5^a/5^3 = 3125/125 = 25.

Veronika said:   9 years ago
I am very new to this, what does ^ mean?

I really need help.

Swapnil said:   9 years ago
5 a-3 = 5^a/5^3.
= 3125/125.
= 25.
(1)

Shalini said:   8 years ago
@Veronika:

^ means raise to the power, i.e. 5^a= 5 raise to the power a.

Ayesha said:   8 years ago
Why in the question they have to ask 5a they should have directly written it as 5^a did they get the same meaning?

Please, someone tell me.

Babu vijayendra kumar said:   8 years ago
I'm not getting this, anybody explain the logic.
(2)

Aditya said:   8 years ago
5a=3125 we can write 3125 in 5 * 5 * 5 * 5 * 5 then we get 5 power 5 then put value.

Then, we get 5 power 2 we get 25.


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