Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y. log x^3 y^4

  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)

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you