Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
They are inverses of each other.
A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.
A linear equation, when plotted, must be a straight line. Such a restriction does not apply to a line graph.y = ax2 + bx +c, where a is non-zero gives a line graph in the shape of a parabola. It is a quadratic graph, not linear. Similarly, there are line graphs for other polynomials, power or exponential functions, logarithmic or trigonometric functions, or any combination of them.
exponential decay
A trend line is graphed from a linear, exponential, logarithmic or other equation, and trys to fit the sorted data that you have. But it may or may not be correlated. The line of best fit is the trend line that best fits your data, having a high correlation. R closer to 1.
neither linear nor exponential functions have stationary points, meaning their gradients are either always +ve or -ve
Exponential and logarithmic functions are inverses of each other.
The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.
A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.
A linear equation, when plotted, must be a straight line. Such a restriction does not apply to a line graph.y = ax2 + bx +c, where a is non-zero gives a line graph in the shape of a parabola. It is a quadratic graph, not linear. Similarly, there are line graphs for other polynomials, power or exponential functions, logarithmic or trigonometric functions, or any combination of them.
fundamental difference between a polynomial function and an exponential function?
Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.
Here's logarithmic form: 1 log ^ 10 Now here's the same thing in exponential form: 10^1 So basically it's just two different ways of writing the same thing. Remember that log is always base "10" unless otherwise specified
That answer was offensive and stupid
Assuming you are referring to the Maths B subject in Queensland High Schools. Maths B is the second authority (OP) Maths subject in the State Curriculum (also referred to as "difficult Maths". It is preceded by Maths A (really easy maths [there is a massive difference between A and B) and succeeded by Maths C (Incredibly difficult maths). In Maths B (11 and 12) you typically study Periodic Functions, Statistics, Exponential functions, Logarithmic Functions, Differentiation, Integration (indefinite and definite), and a bit of probability.
look in your textbook
What is the difference between the population and sample regression functions? Is this a distinction without difference?
The pH scale is logarithmic; the difference between two units is x10.