Question

a^x = b^y = c^z and b = a^2c what is the value of y​

Answer 1

Answer:

okkkkkkkkkkkkkkk

Step-by-step explanation:

please give me 5 minutes to solve the question wait for a while

Answer 2

Answer:

y = xz / ( x +2z )

Step-by-step explanation:

$given \: that \\ {a}^{x} = {b}^{y} = {c}^{z} = k \: (say)$

$so \: a = {k}^{ \frac{1}{x} }$

$b = {k}^{ \frac{1}{y} }$

$c = {k}^{ \frac{1}{z} }$

$also \: given \: that \: b = {a}^{2}c$

$so \: {k}^{ \frac{1}{y} } = {k}^{ \frac{1}{x} } \times {k}^{ \frac{1}{x} } \times {k}^{ \frac{1}{z} }$

equating powers alone

${a}^{m} \times {a}^{n} = {a}^{m + n}$

1/y = 1/x+1/x+1/z

1/y =2/x+1/z

1/y = 2z+x ÷ xz

y = xz / ( x +2z )