Question

solve it correctly please​

Answer 1

Answer:

Given,

5^x = 3^y = 45^z

Let us 5^x = 3^y= 45^z = m

And 5 = m^1/x, 3 = m^1/y, 45 = m^1/z

So, 45^z = m

m^1/z = 45

m^1/z = 9 × 5 = 3×3 × 5 = 3² × 5

m^1/z = 3² × 5

m^1/z = (m^1/y)² × m^1/x

m^1/z = m^2/y × m^1/x

Since, Base is same of both side

Therefore, 1/z = 2/y + 1/x

Answer.

Thanks!