Question

please solve this question

prove that the above=1​

Answer 1

Step-by-step explanation:

$log_{y}( \sqrt[3]{x} ) \times log_{z}( {y}^{4} ) \times log_{x}( \sqrt[4]{ {z}^{3} } ) \\ = \frac{1}{3} log_{y}(x) \times 4 log_{z}(y) \times \frac{3}{4} log_{x}(z) \\ = \frac{ log(x) \times log(y) \times log(z) }{ log(y) \times log(z) \times log(x) } \\ = 1$

IDENTITY USED:

1. log_a(bⁿ) = nlog_a(b)
2. log_a(b) = [log(b) /log(a) ]

HOPE IT HELPS :D