Answer:
x = 4
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 3
exponents = 2x + 1 , x + 5
3^(2x + 1) = 3^( x + 5)
3^(2x + 1) / 3^(x + 5) = 1
3^((2x + 1) - (x + 5) )= 1
3^(2x + 1 - x - 5) = 1
3^(2x - x +1 - 5) = 1
3^(x - 4) = 1
log 3^(x - 4) = log(1)
(x - 4) (log (3)) = 0
log(3) = 0 rejected
x - 4 = 0 accepted
x = 0 + 4
Choice C is the answer.
We have given a equation.
We have to find the value of x.
Since, we know that same bases have equal powers.
2x+1 = x+5
Adding -x-5 to both sides of above equation, we have
2x+1-x-5 = x+5-x-5
x-4 = 0
x = 4 which is the answer.
Answer: B
f(x) = -2|x| + 1
The graph shifts one unit up the y axis since there's a value outside the absolute value which directly adds 1 to it.
Check the picture below.
Answer: i think a diamond
