given that log11=1.0414 and log5=.6990, evaluate

Question

1.) log55

 

2.) log125/121

Answer 1

Hi Michelle,

 

when working with logs muliplication becomes addition

 

so 11 * 5 = 55

 

becomes log(11) + log(5) = log 55

 

1.0414 + .6990 = log 55

 

and

 

log(125/121)  becomes log(5³/11²⁾

 

and division becomes subraction

 

log(5³) - log(11²)

 

and this becomes 3 log(5) - 2 log(11)

 

now you can substitute  .6990 and 1.0414 and solve

 

Hope this helps