Question

log13 base169 - log11 base 121 =?​

Answer 1

SOLUTION

TO DETERMINE

$\sf{ log_{13}(169) - log_{11}(121) }$

FORMULA TO BE IMPLEMENTED

$\sf{1. \: \: log_{a}( {x}^{m} ) = m log_{a}(x) }$

$\sf{ 2. \: \: log_{a}(a) = 1 }$

EVALUATION

$\sf{ log_{13}(169) - log_{11}(121) }$

$\sf{ = log_{13}( {13}^{2} ) - log_{11}( {11}^{2} ) }$

$\sf{ = 2 log_{13}( 13 ) - 2 log_{11}( 11) } \: \: \: \: (by \: formula \: 1)$

$\sf{ = (2 \times 1) - (2 \times 1 )} \: \: \: \: (by \: formula \: 2)$

$\sf{ = 2 - 2}$

$= 0$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. if 2log x base y=6,then the relation between x and y

https://brainly.in/question/27199002

2. If 2log((x+y)/(4))=log x+log y then find the value of (x)/(y)+(y)/(x)

https://brainly.in/question/24081206