Answer:
(A) put the 7 in front of the log
log 6 (6)^7 = x
7 * log 6 (6) = x
7 * 1 = x
x = 7
Answer:
is that even the full answer because I don't know if that is
Answer:
(a) 6
(b) 12
(c) 18
(d) The ratios are all equal.
Step-by-step explanation:
I assume that -5 goes with -11, -4 goes with -5, -3 goes with 1, etc.
(a) Look at the points (0, 19) and (1, 25). The inputs are 0 and 1, so the inputs are 1 unit apart since 1 - 0 = 1. Now look at the outputs. They are 19 and 25, and 25 - 19 = 6. The difference of outputs is 6 for a difference of inputs of 1.
(b) Look at points (0, 19) and (2, 31). The inputs are 2 units apart since 2 - 0 = 2. The outputs are 12 units apart since 31 - 19 = 12.
(c) Look at points (0, 19) and (3, 37). The inputs are 3 units apart since 3 - 0 = 0. The outputs are 18 units apart since 37 - 19 = 18.
(d) In part (a), with inputs 1 unit apart, the ratio of output difference to input difference was 6/1. In part (b), with inputs 2 units apart, the ratio of output difference to input difference was 12/2 which is the same as 6/1. In part (c), with inputs 3 units apart, the ratio of output difference to input difference was 18/3 which is the same as 6/1. The ratios are all equal.
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:
Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.
If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = <u><em>x^2</em></u>
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = <u><em>x</em></u>
Last terms: 1 * 2 =<em> </em><u><em>2</em></u>
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
