Can someone please show how to solve this ln(5x-1)+ln(x-6)=ln6 ???
Answers
ln((5x-1)(x-6)=ln6 do now FOIL
ln(5x^2-30x-x+6)=ln6
therefore
5x^2-31x+6=6 and
5x^2-31x=0 furthermore
x(5x-31)=0
one solution is 0, which we will reject
the other solution is 5x=31
x=31/5
ln((5x - 1)(x - 6)) = ln(6)
ln(5x(x - 6) - 1(x - 6) = ln(6)
ln(5x(x) - 5x(6) - 1(x) - 1(-6)) = ln(6)
ln(5x² - 30x - x + 6) = lm(6)
ln(5x² - 31x + 6) = ln(6)
5x² - 31x + 6 = 6
5x² - 31x + 6 - 6 = 6 - 6
5x² - 31x + 0 = 0
x = -(-31) +/- √((-31)² - 4(5)(0))
2(5)
x = 31 +/- √(961 - 0)
10
x = 31 +/- √(961)
10
x = 31 +/- 31
10
x = 31 + 31 x = 31 - 31
10 10
x = 62 x = 0
10 10
x = 6²/₅ x = 0
Related Questions
A house purchased for $220000 has it's value grow at a constant rate of 4%. Determine the approximatevalue of the house 5 years after purchase
How to rewrite 7(3 + 3 + 3) + 1 =
From the set {0, 1, 11}, use substitution to determine which value of x makes the equation true.23x + 27 = 50A. 11B. 0C. 1D. none of these2. From the set {0, 1, 10}, use substitution to determine which value of x makes the equation true.23x + 29 = 52A. 10B. 1C. none of theseD. 03. Add 5 and b. Then, multiply by 2.Which of the following expressions matches the statement above?A. 5 + b × 2B. (5 + b) × 2C. 5 × (2 + b)D. b + 5 × 24. What is the absolute value of the number indicated on the number line below?-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 A. -18B. 17C. -17D. 18
How much will Julia pay in all for the headphones after sales tax is included? Round to the nearest cent if necessary.
3x _ 2y = 8
Answers:
x = 4, y = 2
x = 4, y = _2
x = _2, y = 4
x = 2, y = 4
Answers
2(4) + 6(2) = 20
3(4) _ 2(2) = 8
the graph is so easy, please try!!
Answer:
Option A is correct.
x =4 , y = 2
Explanation:
Given the system of equation:
......[1]
.....[2]
Multiply equation [2] by 3 both sides we get;
Using distributive property:
.....[3]
Add equation [1] and [3], to get eliminate y we get;
Combine like terms we have;
Divide both sides by 11 we get;
Substitute the value of x =4 in [1] we get;
2(4) + 6y = 20
8 + 6y = 20
Subtract 8 from both sides we have;
6y = 12
Divide both sides by 6 we have;
y = 2
Therefore, the values of x and y are; 4 and 2.
Answers
5ft x 12in = 60 inches
Answers
yintercept is where the line crosses the y axis or where x=0
2x-3y=6
xint
y=0
2x=6
x=3
xint is x=3 or (3,0)
yint
x=0
-3y=6
divide by -3
y=-2
yint is y=-2 or (0,-2)
xint is (3,0) or at x=3
yint is (0,-2) or at y=-2
-3y = 6 - 2x
y = -2 + 2/3x
(b) Evaluate the expression to find the total price that Isaac will pay if he buys 5 sheets of tickets for rides and 3 tickets for shows.
Answers
A- x+y= $25
B- $95
Answers
Answers
Answer:
5F = -15C ( 1F=-17.2222222)
Final answer:
The highest temperature on a winter day of 5°F is equivalent to -15°C. This is derived by using the formula to convert Fahrenheit to Celsius: C = (5/9)*(F - 32). Therefore, the temperature in Celsius is -15°C.
Explanation:
The problem is asking for the conversion of temperature from Fahrenheit to Celsius. The formula to convert Fahrenheit to Celsius is C = (5/9)*(F - 32). Let's use it to solve the question.
Given that the Fahrenheit (F) temperature is 5°F, the Celsius (C) temperature would be calculated as: C = (5/9)*(5 - 32), resulting in a Celsius temperature of about -15°C. This means that 5°F is equivalent to -15°C.
Learn more about Temperature Conversion
#SPJ2