Well when ever you're doing order of operations you always use please excuse my dear aunt sally please means parentheses ALWAYS GO FIRST Excuse means experience which if there's no parentheses exponents go first to my name is multiplication after parentheses multiplication always go first if there's no parentheses dear means division after multiplication comes division on means addition but pretty much after the multiplication parentheses and the division you complete the rest of the problem using the left to right method now the answer to this problem is
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
The third one. Because it factors to (4x+3y)^2