Question

Express the logarithm of 35×46 as the sum of logarithm

Answer 1

log (7*5)*log (2*23)
log 7+ log 5+ log 2+ log 23

Answer 2

Answer:

log ( 35 × 46 ) = log 5 + log 7 + log 2 + log 23

Step-by-step explanation:

Given:

log ( 35 × 46 )

We need of express the given log function in sum of log functions.

We use the following result,

log ( m × n ) = log m + log n

Consider,

log ( 35 × 46 )

= log 35 + log 46

= log ( 5 × 7 ) + log ( 2 × 23 )

= log 5 + log 7 + log 2 + log 23

Therefore, log ( 35 × 46 ) = log 5 + log 7 + log 2 + log 23