If 5a = 3125 then the value of 5(a - 3)...

Home / Arithmetic Ability / Surds And Indices / Question

Examveda

If 5^a = 3125, then the value of 5^{(a - 3)} is:

A. 25

B. 125

C. 625

D. 1625

Answer: Option A

Solution(By Examveda Team)

5^a = 3125 ⇔ 5^a = 5⁵
⇒ a = 5.
∴ 5^{(a - 3)} = 5^{(5 - 3)} = 5² = 25

This Question Belongs to Arithmetic Ability >> Surds And Indices

Join The Discussion

Related Questions on Surds and Indices

(17)^3.5 × (17)^? = 17⁸

A. 2.29

B. 2.75

C. 4.25

D. 4.5

View Answer

$${\text{If}}\,{\kern 1pt} {\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}},$$ then the value of x is

A. $$\frac{1}{2}$$

B. 1

C. 2

D. $$\frac{7}{2}$$

View Answer

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to:

A. 1.45

B. 1.88

C. 2.9

D. 3.7

View Answer

If 5^a = 3125, then the value of 5^{(a - 3)} is:

A. 25

B. 125

C. 625

D. 1625

View Answer

More Related Questions on Surds and Indices