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
Answer:
To the tenth = 2.8
Step-by-step explanation:
x*(x+5) = 22
2.8 * (2.8 + 5) = about 22
Answer:
See below.
Step-by-step explanation:
Pi ( written as the Geek letter π) is a universal constant found by dividing the circumference of a circle by it's diameter. So if you measure the diameter of a circle you can calculate it's circumference by multiplying by π.
Circumference = π * diameter.
It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.
Answer:
Step-by-step explanation:
X+Y = 13
$18 + $22 = $258
OR
18X+22Y=258
18X + 22(13 - X) = 258
18X + 286 - 22X = 258
286 - 4X = 258
-4X= 258 - 286
-4X = -28
X= 7
Y=6
7 of the X tour packages & 6 of the Y tour packages
Answer:
$159
Step-by-step explanation:
All your doing is adding 45% and a percentage is out of 100 so to put it in decimal form it would be 0.45 added onto 159 which would give you $159.45 rounded to the nearest dollar would be $159
