Question

If aˣ=b, bʸ=c, cᶻ=a, then xyz=​

Answer 1

Answer:

xyz=1

Step-by-step explanation:

${a}^{x} = b \\ taking \: logarithm \\ x log_{}(a) = log(b) \\ x = \frac{ log(b) }{ log(a) } \\ \\ similarly \\ y = \frac{ log(c) }{ log(b) } \\ z = \frac{ log(a) }{ log(c) } \\ \\ xyz = \frac{ log(b) }{ log(a) } \times \frac{ log(c) }{ log(b) } \times \frac{ log(a) }{ log(c) } = 1$

hence,

xyz=1