Question

plz can u do this
indeed the answer
plz do it As fast as possible​

Answer 1

Solution :-

Given :-

→ a = b^x

→ b = c^y

→ a = c^z

Solving 3rd ,

→ a = c^z

putting value of a in LHS, we get,

→ b^x = c^z

putting value of b in LHS now,

→ (c^y)^x = c^z

using (a^b)^c = (a)^(bc) in LHS now,

→ c^(yx) = c^z

using , if a^b = a^c than b = c now, we get,

→ xy = z . (Proved).

Answer 2

Given

Three values

$\sf\:a=b^x\\b=c^y\\and\:a=c^z$

To show.

Z= xy

Solution

Let the given values as Equation (1), (2) and (3)

$\sf\:a=b^x\rightarrow{1}\\b=c^y\rightarrow{2}\\and\:a=c^z\rightarrow{3}$

Now from equation (1) and (3)

$\sf\:a=b^x\rightarrow{1}\\and\:a=c^z\rightarrow{3}$

$\implies\:b^x=c^z\rightarrow{4}$

Now putting value of Equation (2) in (4)

$\implies\:C^{xy}=c^z$

Now same base C

Therefore

XY=Z