A natural gas plant is located on the north bank of a river that is 4 km wide. A pipeline will be laid from the natural gas plant to a distribution station. This station stands on the opposite bank of the river, 6 km west of the natural gas plant. The cost of laying a pipe over land to point A on the north bank is $30,000/km. It costs $75,000/km to lay a pipe under the river to the station on the opposite bank. How far should point A be located from the distribution station to minimize the cost of laying the pipeline?

i jus passed hella gas ngl

Step-by-step explanation:

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step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752