How do you calculate $Log_7 (42 )$ ?

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Answer 1 · 2018-05-20T08:36:19

$color(pink)(=> 1.9208$

$log_7 42$

As per base change rule,

$log_b a = log_c a / log_c b$

$log_7 42 = log_(10) 42 / log_(10) 7$

$log (mn) = log m + log n$

$:. => (log 7 + log 6) / log 7$

$=> log 7 / log 7 + log 6 / log 7$

}=> 1 + log 6 / log 7#

$=> 1 + (0.7782) / (0.8451)$

$color(pink)(=> 1.9208$

How do you calculate Log_7 (42 )Log_7 (42 )?