Question

please solve this fast​

Answer 1

Answer:

$log_{a ^{2} }20 + 2$

Step-by-step explanation:

If you're asking for simplification:

$\\\tt \dfrac{ log_{a}(20 a^4) }{2} \\\tt = \dfrac{ log_{a}20 }{2} + \dfrac{ log_{a} a^4}{2} \\\tt = \dfrac{ log_{a}20 }{ log_{a}( {a}^{2} )} + \dfrac{4}{2} \\\tt= log_{a ^{2} }20 + 2$

Rules used:

Product rule:

$log(ab) = log(a) + log(b)$

Base change rule:

$log_{x}(y) = \dfrac{ log(y) }{ log(x) }$