Question

if x= loga 5 write in terms of x the following log25a 5

Answer 1

$2log5 + x$

Step-by-step explanation:

$Given, \: \: \: \: \: x = log {a}^{5} \\we \: \: know \: \: that \: \: \boxed{log(xy )\: = \: logx + logy \: \: \: and \: \: \: log {x}^{n} = nlogx} \\ Now, \: \: \: \: \: log25 {a}^{5} = log25 + log {a}^{5} \\ log {5}^{2} + log {a}^{5} = 2log5 + x$