If y is inversely proportional to x and y =5 when x = 2 find the value of y when x = 8​

y = 10/8 = 1.125 or 1 1/4

Step-by-step explanation:

Inverse proportion means

xy = a constant.

In this case, the constant is given by the example,

x = 2 when y=5, so

xy=10

when x = 8, then

y = 10/8 = 1.125 or 1 1/4

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