Ahouse appreciates (grows in value) about 6% each year. if the house is now worth 158,000, in about how many years will it be worth 200,000? use the equation 200,000= 158,000(1.06)^x to solve this problem. round to the nearest year

200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years

CHECK
y = 158,000(1.06)^4
y = 199,471.36

Equidistant in this case means that the distance from (0, b) to (5, 5) is the same as the distance from (0, b) to (3, -2).

The distance from (0, b) to (5, 5) is
.

The distance from (0, b) to (3, -2) is


These two distances are equal to each other, so