What is the value of x?
6x - 3
3x + 6
enter your answer in the box.
ba
- 5x

The correct answer is x = 3

Complete question and statement:

Given the equilateral triangle Δ ABC in the graph attached,

AB = 6x - 3

AC = 3x + 6

What is the value of x?

Source: Previous question that can be found at

Step-by-step explanation:

Let's recall that an equilateral triangle has its three sides equal. therefore:

AB = AC

6x - 3 = 3x + 6

3x = 9 (Common terms)

x = 9/3 (Dividing by 3 at both sides)

x = 3 ⇒ AB = 15 units, AC = 15 units, BC = 15 units

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