Question

log to the base log to the base root 3 + root 5 root 8 + 2 root 15 ​

Answer 1

HIII.......{∆}

THERE IS YOUR ANSWER.....{¶}

$log_{ \sqrt{3} + \sqrt{5} }( \sqrt{8 + 2 \sqrt{15} } ) .....eq(1) \\ \\ we \: know \: that \\ ({ \sqrt{3} + \sqrt{5} })^{2} = \sqrt{8 + 2 \sqrt{15} } ...eq(2) \\ \\ put \: eq(2) \: in \: eq(1) \\ \\ log_{ \sqrt{3} + \sqrt{5} }( { \sqrt{3} + \sqrt{5} ) }^{2} \\ \\ 2 log_{ \sqrt{3} + \sqrt{5} }( \sqrt{3} + \sqrt{5} ) \\ \\ we \: know \: that \: when \: the \: base \: and \: \\ power \: become \: equal \: in \: log \: than \: \\ the \: log \: give \: one \\ \\ 2(1) \\ answer \: = 2$

HOPE IT'S HELP YOU....{∆}

BYE......{¶}