Answer:
r=2
Step-by-step explanation:
r + 8 r + 11 = 29
( 1 + 8 ) r + 11 = 29 9 r + 11 = 29
Now we can isolate and solve for r while always keeping the equation balanced: First, subtract 11 from each side of the equation:
9 r + 11 − 11 = 29 − 11
9 r + 0 = 18
9 r = 18
Now we can divide each side of the equation by 9 to get
r : 9 over 9 = 18 under 9
1 r = 2
r = 2
Answer: r = 2
Steps:
r + 8r + 11 = 29
9r + 11 = 29
9r + 11 - 11 = 29 - 11
9r = 18
r = 2
plz mark brainliest
-10x - 2 = 18
Answer:
x = -2
Step-by-step explanation:
To solve -10x - 2 = 18 for x, you have to do the inverse of each operation, but backward. Since the equation subtracted two last, we have to add (since the opposite of subtraction is addition) 2 first. 18 + 2 = 20, so now we have -10x = 20. This is because -2 + 2 cancels out the -2 (it equals 0).
Then, we have to divide both sides of the equation by -10 to get x by itself. Since the equation multiplied by -10, we have to do the opposite of multiplication, which is division. because -10 divided by -10 equals 1 and one multiplied by x is 1x, or just x. Now we have since we have to do the same thing on both sides. A positive divided by a negative is a negative, and 20 divided by 10 is 2, so our answer is negative 2. Therefore, x = -2.
Answer: To solve the equation log3x - log3(x - 8) = 2, we can use the properties of logarithms to simplify and solve for x.
First, let's apply the quotient rule of logarithms. The quotient rule states that log(base a)(b) - log(base a)(c) = log(base a)(b/c).
Using this rule, we can rewrite the equation as log3(x / (x - 8)) = 2.
Next, let's rewrite 2 as a logarithm. The logarithmic form of 2 is log(base a)(b) = c, where a^c = b. In this case, a^c = 3^2 = 9. Therefore, we can rewrite the equation as log3(x / (x - 8)) = log3(9).
Now that the bases are the same, we can set the arguments of the logarithms equal to each other. Therefore, x / (x - 8) = 9.
To solve for x, we can multiply both sides of the equation by (x - 8) to eliminate the fraction. This gives us x = 9(x - 8).
Expanding the right side of the equation, we get x = 9x - 72.
Next, we can subtract 9x from both sides of the equation to isolate x. This gives us -8x = -72.
Dividing both sides of the equation by -8, we find that x = 9.
Therefore, the solution to the equation log3x - log3(x - 8) = 2 is x = 9.
Step-by-step explanation: