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)

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63