Answer:
The true solution is x=4/9
EXPLANATION
The logarithmic equation given to us is
We need to use the quotient rule of logarithms.
When we apply this law the expression becomes
We now take the antilogarithm of both sides to get
We square both sides to get,
We evaluate to obtain,
This simplifies to
We divide both sides by 36 to get
We simplify to get,
Answer:
x=3
Step-by-step explanation:
15-7x=5x-21
12x=36
x=3
Answer:
-12
Step-by-step explanation:
6 + 1.5x = -12
1.5x = -18
x = -12
Answer : 2√3
<u>Given </u><u>:</u><u>-</u>
- A equilateral triangle with side length 4.
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The value of x in the given figure.
As we know that in a equilateral triangle , perpendicular bisector , angle bisector and median coincide with each other .
- So the perpendicular drawn in the figure will bisect the given side .
- Therefore the value of each half will be 4/2 = 2 .
Now we may use Pythagoras theorem as ,
→ AB² = BC² + AC²
→ 4² = 2² + x²
→ 16 = 4 + x²
→ x² = 16-4
→ x² = 12
→ x =√12 = √{ 3 * 2²}
→ x = 2√3
<u>Hence </u><u>the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>2</u><u>√</u><u>3</u><u> </u><u>.</u>
I hope this helps.