9 x 5 = 45 -> total $ on Friday
99 - 45 = 54 -> total $ on Saturday
54 ÷ 9 = 6 hours
<em>Step 1: Subtract x from both sides. </em>
1/3x +4− x =x −2− x
= -2/3 x +4 = -2
<em>Step 2: Subtract 4 from both sides</em>.
-2/3x + 4− 4 =−2− 4
-2/3x = -6
<em>Step 3: Multiply both sides by 3/(-2).</em>
( 3/-2 ) * (-2/3x ) = (3/-2) * (-6)
= 9
So , X=9
<span>2 log 3(x-1)=log(4 x 2-25)
1. Determine the domain. Since the input to the log function cannot be zero or negative, 4x^2-25 must be </span>≥ 0. Thus, x^2 must be >0, or x>0. Same domain applies to log (3(x-1); x must be > 0.
2. Rewrite <span>2 log 3(x-1) as log 3(x-1)^2.
3. Then we have </span>log 3(x-1)^2 = log(4 x 2-25). We can discard the operator "log" from both sides: 3(x-1)^2 = 4 x 2-25. There are various ways in which to solve this. Since you're supposed to "use technology,"
graph y = 3(x-1)^2 and y = 4x^2 - 25 on the same set of axes. Determine, using visual estimation or your calculator's tools, the value or values of x that satisfy this equation. My result was x=3, y =11.
