Question

simplify log 5000. .

Answer 1

log 5*1000
= log 5 + log 1000
= log 5 + log 10^3
= .69897 + 3 log 10
= .69897 + 3 * 1
= 3.69897
hope it helps

Answer 2

Hola there,

Simplify log 5000

Since, log( ab ) = log a + log b 

=> log 5000 = log( 5 x 1000 )

= log 5 + log 1000
= log 5 + log( 10³ )

= log 5 + 3 log 10
= log 5 + 3 

Also, log 5 = log ( 10 / 2 ) = log 10 - log 2 = ( 1 - log 2 )

=> log 5000 = log 5 + 3 = ( 1 - log 2 ) + 3 = ( 4 - log 2 )

Hence, log 5000 = ( 3 + log 5 ) or ( 4 - log 2 )

Hope this helps ...:)