Answer:

Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
Answer:
<h2>x = 12</h2><h2 /><h2>y = 4√3</h2>
Step-by-step explanation:
<u>To find x we use cosine</u>
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
<h3>x = 12</h3>
<u>To find y we use sine</u>
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
<h3>y = 4√3</h3>
Hope this helps you
Answer:
X=2
Step-by-step explanation:
-2+6x=12-x
add 2 to both sides
6x=14-x
now add 1x to both sides
7x=14
and finally divide both sides by 7 so you x is left alone
<h2>
x=2</h2>
Answer:

Step-by-step explanation:
=> 2 gallons of milk each day.
<u>This means</u>
1 day = 2 gallon of milk
Multiply both sides by 5
5 (1 day) = 5 (2 gallons of milk)
<h3>5 days = 10 gallons of milk</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>