Okay, so first you set equal to 0:

Next simplify the equation so that the leading coefficient is positive:

Looking at the quadratic equation you can't easily simplify it, so plug it into the quadratic equation and simplify:

I noticed a couple mistakes in your work, so if you want me to I can explain them in the comments section :)
3 1/3 --> 3 8/24 --> 80/24
6 1/2 --> 6 12/24 --> 156/24
4 1/8 --> 4 3/24 --> 99/24
1 1/4 --> 1 6/24 --> 30/24
About how much more grape juice <u><em>and </em></u>orange juice is used in the punch
80/24+156/24 = 59/6 or 236/24
99/24+30/24= 43/8 or 129/24
236/24-129/24= 107/24 cups OR 4.458 cups OR 4 11/24 cups
About how much more grape juice <u><em>than </em></u>orange juice is used in the punch
3 1/3 --> 3 8/24 --> 80/24
6 1/2 --> 6 12/24 --> 156/24
approximately -3
hope this helps!
Answer:
x⁷ = 60
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
- The expotential equation .
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
Given logarithmic equation is ,
⇒ log x⁵ + log x ¹² = 7
⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]
⇒log x ⁶⁰ = 7
In expotential form we can write it as ,
⇒ x⁷ = 60
There are 75 students in the class. 30*100/40=75