if (2^5 + 0.125)^2 - (2^5 - 0.125)^2 = 2^x, then the value of x is : 1. 2 2. 3 3. 4 4. 5

Question

KnowledgeBoat · Accepted Answer

Given, (25 + 0.125)2 - (25 - 0.125)2 = 2x By using the identity: (a + b)2 - (a - b)2 = 4ab Let a = 25, b = 0.125 Using identity in L.H.S. of the given equation, Equation L.H.S. and R.H.S., ⇒ 2x = 24 ⇒ x = 4. Hence, option 3 is the correct option.

Mathematics

If (2⁵ + 0.125)² - (2⁵ - 0.125)² = 2^x, then the value of x is :
2
3
4
5

Indices

Related Questions

If 2^{x + 3} + 2^{x + 1} = 320, then x =
2
3
4
5

If 4^x = 8^y, then x : y =
2 : 3
3 : 2
3 : 4
4 : 3

Mathematics

If (25 + 0.125)2 - (25 - 0.125)2 = 2x, then the value of x is :2345

Indices

Related Questions

If 2x + 3 + 2x + 1 = 320, then x =2345

If 4x = 8y, then x : y =2 : 33 : 23 : 44 : 3

If (2⁵ + 0.125)² - (2⁵ - 0.125)² = 2^x, then the value of x is :
2
3
4
5

If 2^{x + 3} + 2^{x + 1} = 320, then x =
2
3
4
5

If 4^x = 8^y, then x : y =
2 : 3
3 : 2
3 : 4
4 : 3