Victor hernandez has a credit card that bases its finance charge on the average-daily-balance method-new purchases included. his monthly periodic rate is 2.9% and his finance charge for the most recent billing cycle was $37. find his average daily balance.

The appropriate formula is

... (finance charge) = (periodic rate) × (average daily balance)

Fill in the given numbers and solve.

... $37.00 = 0.029 × (average daily balance)

... $37.00/0.029 = (average daily balance) ≈ $1275.86

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.