Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)
Answer:
x=4,−3
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
Well at first you take the numerator (the top number) and divide it by the denominator (the lower number) that'll give you the whole number. then you would reduce only the fraction. for example lets say that we have 4/8 We know that at the very least since they are both even numbers we can divide by so so if we do that we have 2/4 oh look, even numbers again and divide both sides by two again and you get 1/2.
Parentheses, Exponent, Multiply, Division, Addition, Subtraction is your order (aka PEMDAS). Multiply 9x10 which gives you 90, then add -2 (or subtract 2) and your answer is 88.
