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

3 0

2 years ago

Starting at the park, Jake bikes 3 blocks north, 4 blocks east, 4 blocks south, 7 blocks west, and 1 block north. How many block

yan [13]

I'll use a coordinate plane for this since it's easier (for me) :)

Red = park
Blue = his trail
Pink = distance from park = 3

Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)

7 0

2 years ago

Please help:<br><br> 3/4 of 24 cm

anzhelika [568]

Answer:

Step-by-step explanation:

24*.75=18

6 0

3 years ago

Read 2 more answers

What is 1/4 as a whole number?

wlad13 [49]

The whole number of $\dfrac{1}{4}$ is $\boxed{0.25}.$

Further explanation:

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The number is $\dfrac{1}{4}.$

Explanation:

The whole numbers is the series of numbers that starts from zero.

The natural numbers are those numbers that start from one.

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The given number is $\dfrac{1}{4}.$

Consider the number $\dfrac{1}{4}$ as $\text{A}$ .

$A = \dfrac{1}{4}$

Divide 1 by 4 to obtain the whole of $\dfrac{1}{4}.$

$\begin{aligned}\text{A}&= \frac{1}{4}\\&= 0.25\\\end{aligned}$

The decimal expansion of $\dfrac{1}{4}$ is $0.25.$

The whole number of $\dfrac{1}{4}$ is $\boxed{0.25}.$

Learn more

Learn more about the polynomial brainly.com/question/12996944
Learn more about logarithm model brainly.com/question/13005829
Learn more about the product of binomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation, line, decimal.

3 0

2 years ago

Read 2 more answers