Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Simplify
1
4
(
4
+
x
)
4
1
(4+x) to
4
+
x
4
4
4+x
.
4
+
x
4
=
4
3
4
4+x
=
3
4
2 Simplify
4
+
x
4
4
4+x
to
1
+
x
4
1+
4
x
.
1
+
x
4
=
4
3
1+
4
x
=
3
4
3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
=
3
4
−1
4 Simplify
4
3
−
1
3
4
−1 to
1
3
3
1
.
x
4
=
1
3
4
x
=
3
1
5 Multiply both sides by
4
4.
x
=
1
3
×
4
x=
3
1
×4
6 Simplify
1
3
×
4
3
1
×4 to
4
3
3
4
.
x
=
4
3
x=
3
4
Answer:
Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
Answer:
6 units
Step-by-step explanation:
HOPE THIS HELPED
