Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
To identify the y-intercept, we will need to format the equation in the form 
. We can start by subtracting 
from both sides of the equation:
Divide both sides of the equation by the coefficient of 
, which is 
:
The 
is representative of the y-intercept in .
Identify in the equation :
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the in the equation with a zero:
Add 
to both sides of the equation:
You can go ahead and divide 
by to get rid of the fraction:
Divide both sides of the equation by the coefficient of 
, which is 
:
Therefore, our x-intercept is 10.
The first step is combining like terms. On the left side of the equation add all the numbers together that don't have and x (1/3 +2)
Hope this helped! Let me know if there is anything else I can do!
You might have made an error the first time you solved for x. I got x = -0.5.
When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:
2x + 3 = 4^(1/2) ... Simplify
2x + 3 = 2
2x = -1
x = -1/2
If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?
The answer is 3.5 grams. 500 Milligrams is equal to half a gram.
