Answer:
The value of x is -3.
Step-by-step explanation:
To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.
6^x = 1/216
6^x = 1/(6^3)
Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.
6^x = 1/(6^3)
6^x = 6^-3
Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.
Answer:
2x-64<108
One solution was found :
x < 86
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x-64-(108)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
2x - 172 = 2 • (x - 86)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 2
Solve Basic Inequality :
2.2 Add 86 to both sides
x < 86
Answer: 80
Step-by-step explanation:
Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm
we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x=

0=x^2+12x+16
a=1
b=12
c=16
x=

x=

x=

x=

x=

x=

or

aprox
x=-1.52786 or -10.4721
those are the numbers
the numbes are -1.52786 or -10.4721