Answer:They are equivalent, if that's what your trying to find out.
Step-by-step explanation:
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Answer:
Step-by-step explanation:
<u>Quadratic Equation Solving</u>
We have the equation:
Divide by 8:
Now complete the squares so the left side is a perfect square of a binomial:
Factoring the perfect square:
Taking the square root:
The square root of a negative number is an imaginary number:
Solving for x:
The solutions are:
Answer:
m > 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
11 + m > 15
<u>Step 2: Solve for </u><em><u>m</u></em>
- Subtract 11 on both sides: m > 4
Here we see that any value <em>m</em> greater than 4 would work as a solution to the inequality.
Answer: =3.5x Slope:
3.5
y-intercept:
0
Step-by-step explanation:
