Answer:
v = -3
Step-by-step explanation:
-8(v + 7) = 3v - 23
Expand.
-8v - 56 = 3v - 23
Add -3v and 56 on both sides.
-8v - 56 + 56 - 3v = 3v - 23 + 56 - 3v
-8v - 3v = -23 + 56
Combine like terms.
-11v = 33
Divide -11 into both sides.
-11v/-11 = 33/-11
v = -3
Answer:
3
Step-by-step explanation:
Condene the logarithms on the left side by applying the property, ln(<em>a</em>) - ln(<em>b</em>) = ln(<em>a</em> / <em>b</em>):
ln(<em>x</em> - 2) - ln(<em>x</em> - 3) = 1
→ ln((<em>x</em> - 2) / (<em>x</em> - 3)) = 1
Now take the exponential of both sides:
exp(ln((<em>x</em> - 2) / (<em>x</em> - 3))) = exp(1)
(<em>x</em> - 2) / (<em>x</em> - 3) = <em>e</em>
Solve for <em>x</em> :
<em>x</em> - 2 = <em>e</em> (<em>x</em> - 3)
<em>x</em> - 2 = <em>e x</em> - 3<em>e</em>
<em>x</em> - <em>e x</em> = 2 - 3<em>e</em>
(1 - <em>e</em>) <em>x</em> = 2 - 3<em>e</em>
<em>x</em> = (2 - 3<em>e</em>) / (1 - <em>e</em>) ≈ 3.582
Answer:
x = 2
Step-by-step explanation:
4 - (2x-3) = 3
Distribute the minus sign
4 -2x+3 = 3
Combine like terms
7 -2x = 3
Subtract 7 from each side
7 -2x-7 = 3-7
-2x = -4
Divide by -2
-2x/-2 = -4/-2
x = 2
Isosceles triangle and an equilateral because all of its angles are alway going to be 90 or less than 90
Step-by-step explanation:
