Question

The value of
( 1 /log60 base 3) + (1/ log 60 base 4) + (1/ log 60 base 5) is ??

Answer 1

i hope it will be helpful...

Answer 2

The value of

( 1 /log60 base 3) + (1/ log 60 base 4) + (1/ log 60 base 5) is

Given,

( 1 /log60 base 3) + (1/ log 60 base 4) + (1/ log 60 base 5)

$\dfrac{1}{log_3 60} + \dfrac{1}{log_4 60}+\dfrac{1}{log_5 60}$

using the log properties, we have,

$\dfrac{1}{log_ba} = log_a b$

$log_{60}3 + log_{60}4 +log_{60}5$

using the log properties, we have,

$log_ca+log_cb=log_cab$

$log_{60}(3 \times 4 \times 5)$

$log_{60}60$

using the log properties, we have,

$log_aa=1$

$\therefore, log_{60}60=1$

The value of  ( 1 /log60 base 3) + (1/ log 60 base 4) + (1/ log 60 base 5) is 1