Answer:
see below
Step-by-step explanation:
4 ^(3x-1)=3
Take the natural log of each side
ln(4 ^(3x-1))= ln (3)
We know that ln ( a^b) = b ln a
(3x-1) ln 4 = ln 3
Divide each side by ln 4
3x-1 = ln(3)/ (ln4)
Add 1 to each side
3x = ln(3)/ ln (4) +1
Divide by 3
x =1/3 [( ln 3)/ ln (4)] + 1/3
x = .792461
Answer:
Answer:
Step-by-step explanation:
1) One solution is to write, as our exponent:
2) Because this is special case of the Exponents Law, valid for every base ≠ 0.
3) Hence, including an exponent the numbers 6, 2 whose value is eight.
Therefore our expression is true
Step-by-step explanation:
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
Answer:
2 400 000
Step-by-step explanation:
divide the numbers into 3
