Question

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.

Answer 1

Answer:

  log x³ y⁴   =  3 log ( x ) + 4 log( y)

Step-by-step explanation:

Given function log x³ y⁴

step(i):-

Applying logarithmic formula

                      log ( a b ) = log  (a) +log (b)

                      log x³ y⁴   = log ( x³ ) + log( y⁴)

step(ii):-

Applying logarithmic formula

                    log (x ⁿ) = n log x

                log x³ y⁴   = log ( x³ ) + log( y⁴)

                log x³ y⁴   =  3 log ( x ) + 4 log( y)

final answer:-

  log x³ y⁴   =  3 log ( x ) + 4 log( y)