What is the value of x in the equation 4/7(21/8x+1/2)=-2(1/7-5/28x)? write your solution in decimal form.

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

2. When you apply the distributive property, you obtain:

3. When you order the terms and you sum the fractions, you have:

4. Now, solve for :

The answer is:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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