Question

2 power X=3 power Y=36 power Z​

Answer 1

Given:

2ˣ = 3ʸ = 36ᶻ

Find:

Value of variable x

Work:

Let 2ˣ = 3ʸ = 36ᶻ = Q

i.e. 2ˣ = Q

Or (2ˣ)¹/ˣ = (Q) ¹/ˣ

Or (Q)¹/ˣ= 2         ..1

And  

Let 2ˣ = 3ʸ = 36ᶻ = Q

i.e.  36ᶻ= Q

Or (3ʸ)¹/ʸ = (Q) ¹/ʸ

Or (Q)¹/ʸ = 3         ..2

And  

Let  2ˣ = 3ʸ = 36ᶻ = Q

i.e. 36¹/ᶻ = Q

Or (36ᶻ)¹/ᶻ = (Q) ¹/ᶻ

Or (Q)¹/ᶻ = 36       ..3

*Skipped some long work*

Answer : xy/2(x+y)