Which equation has x=-6 as the solution? A-logx36=2. B-log3(2x-9)=3. C-log3 216=x. D-log3(-2x-3)=2
1 answer:
I posted this to your other question as well:
So we have:
A)
B)
C)
D)
We need to try x = –6 in each equation until we find a solution that makes both sides of the equation equal.
For A, this gives an undefined result. Logarithms are only defined for bases that are positive real numbers not equal to 1.
For B, this again gives an undefined result. The logarithm of a number is only defined when that number is a positive real number. It would be –21, which is undefined.
For C, we have a defined operation, but
.
Finally, for D, we have
This is true.
So we have:
A)
B)
C)
D)
We need to try x = –6 in each equation until we find a solution that makes both sides of the equation equal.
For A, this gives an undefined result. Logarithms are only defined for bases that are positive real numbers not equal to 1.
For B, this again gives an undefined result. The logarithm of a number is only defined when that number is a positive real number. It would be –21, which is undefined.
For C, we have a defined operation, but
Finally, for D, we have
This is true.
You might be interested in
From the diagram above
mixtures of 3 cups of red paints and 2 cups of green paints for 1 batch
this means for every one batch of brown paint
you have 3 cups of red paints and 2 cups of green paints
for three batches
3 red cups + 3 red cups + 3 red cups = 9 reds cup
2 green cups + 2 green cups + 2 green cups = 6 greens cup
to produce three batches you will need the mixture of 9 red cups of paints and 6 green cups of paint
adding to the diagram you will have 6 more red cups and 4 more green cups
