All categories

3 years ago

Which exponential equation is equivalent to the logarithmic equation below? 4= ln x

1 answer:

5 0

The exponential function equivalent to 4=ln x will be evaluated as follows:
from
4=ln x
introducing the exponential function
e^4=e^(lnx)
but
e^(lnx)=x
thus
e^4=x
answer:
e^4=x

You might be interested in

You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T

velikii [3]

All functions have an inverse expression.

The cost function is: $\mathbf{C(x) = 40000 + 100x}$ .
The inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

From the question, we have the following observations:

Base fare = 50000 pesos for first 100
Additional guest = 100 pesos

So, the cost function would be:

$\mathbf{C(x) = 50000 + (x - 100) \times 100}$

Where: x represents the number of guests, and C(x) represents the cost function

Expand

$\mathbf{C(x) = 50000 + 100x - 10000}$

Evaluate like terms

$\mathbf{C(x) = 40000 + 100x}$

To calculate the inverse function, we have:

$\mathbf{C(x) = 40000 + 100x}$

Replace C(x) with y

$\mathbf{y = 40000 + 100x}$

Swap x and y

$\mathbf{x = 40000 + 100y}$

Subtract 40000 from both sides

$\mathbf{x - 40000 = 100y}$

Divide both sides by 100

$\mathbf{\frac{x - 40000}{100} = y}$

Rewrite as:

$\mathbf{y= \frac{x - 40000}{100} }$

Split

$\mathbf{y= \frac{x}{100} - \frac{40000}{100} }$

$\mathbf{y= 0.01x - 400 }$

Hence, the inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

Read more about functions and inverse at:

brainly.com/question/10300045

3 0

2 years ago

How do you substract two digits for example 60-4 only by the operator plus(+)? only digets >=0 are allowed

Olegator [25]

Answer:

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference. Subtraction is signified by the minus sign (−). For example, in the adjacent picture, there are 5 − 2 apples—meaning 5 apples with 2 taken away, which is a total of 3 apples. Therefore, the difference of 5 and 2 is 3, that is, 5 − 2 = 3. Subtraction represents removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices.

Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because 0 is the additive identity, subtraction of it does not change a number. Subtraction also obeys predictable rules concerning related operations such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that continue these patterns are studied in abstract algebra.

Performing subtraction is one of the simplest numerical tasks. Subtraction of very small numbers is accessible to young children. In primary education, students are taught to subtract numbers in the decimal system, starting with single digits and progressively tackling more difficult problems.

In advanced algebra and in computer algebra, an expression involving subtraction like A − B is generally treated as a shorthand notation for the addition A + (−B). Thus, A − B contains two terms, namely A and −B. This allows an easier use of associativity and commutativity.

5 0

3 years ago

9+ 13 + 17 + ...+ 457=

Readme [11.4K]

Answer:

418

Step-by-step explanation: 457-17-13-9=418

To double check: 418 + 17 + 13 + 9 = 457

6 0

3 years ago

I need some help with 12 please

V125BC [204]