Solve forx.
log(x) = log(y) + log(z) + log(y) − log(z)

x = y²

Step-by-step explanation:

Given:

log(x) = log(y) + log(z) + log(y) − log(z) ................(1)

Now,

from the properties of natural log, we have

log(A) + log(B) = log(AB)

and

log(A) - log(B) =

applying the above property in the provided equation, we have

log(x) = ( log(y) + log(z) ) + log(y) − log(z)

or

log(x) = log(yz) + log(y) - log(z)

or

log(x) = log(yzy) - log(z)                              [as log(yz) + log(y) = log(yzy) ]

or

log(x) = log(y²z) - log(z)  

also,

log(x) =

or

log(x) = log(y²)

Now, taking the anti-log both sides, we get

x = y²

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98