<h3>
Answer: Choice B) x = 1</h3>
================================================
Explanation:
The problem should read 6^(3-x) = 6^2. The 3-x must be in parenthesis to indicate that all of "3-x" is in the exponent and not just the 3.
Because both bases are 6, and because both sides are equal, this means that the exponents must be equal as well. Therefore 3-x = 2. Let's solve for x
3-x = 2
3-x+x = 2+x .... adding x to both sides
3 = 2+x
2+x = 3 ..... flipping both sides
x+2 = 3
x+2-2 = 3-2 .... subtracting 2 from both sides
<h3>x = 1</h3>
You can use logarithms to solve this problem, but the fact that the bases are both the same allows us to use this faster shortcut.
1) Simplify brackets
-1/3+4/9
2) Find the Least Common Denominator (LCD) of 1/3, 4/9
LCD = 9
3) Make the denominators the same as the LCD
-((1 times 3)/(3 times 3)) + 4/9
4) Simplify. Denominators are now the same
-3/9 +4/9
5) Join the denominators
(-3+4)/9
6) Simplify
1/9
<u>Your answer is C) 1/9</u>
Answer:
Step-by-step explanation:
Answer:
1:3 or 1/4 and 3/4
2:6
3:9
Step-by-step explanation: