If (3)^x = (5)^y = (75)^z, show that z = xy/2x+y.

Question

KnowledgeBoat · Accepted Answer

Let (3)^x = (5)^y = (75)^z = k ∴ (3)^x = k ⇒ 3 = ......(i) ∴ (5)^y = k ⇒ 5 = .......(ii) ∴ (75)^z = k ⇒ 75 = ⇒ 3.5² = Substituting value of x and y from (i) and (ii) in above equation we get, Hence, proved that .

Mathematics

If (3)<sup>x</sup> = (5)<sup>y</sup> = (75)<sup>z</sup>, show that z = xy/2x+y.

Indices

Related Questions

Solve the following equation :
3^{x + 1} = 27.3⁴

Mathematics

If (3)<sup>x</sup> = (5)<sup>y</sup> = (75)<sup>z</sup>, show that z = xy/2x+y.

Indices

Related Questions

Solve the following equation :3x + 1 = 27.34

Solve the following equation :
3^{x + 1} = 27.3⁴