The graph of y = log(x) is defined only for x>0. The graph is a monotonic increasing function over its domain. It starts from an asymptotic "minus infinity" when x approaches 0. It passes through the value y = 0 when x = 1. The graph is illustrated at the link below.
An exponential function can be is of the form f(x) = a*(b^x). Some examples are f1(x) = 3*(10^x), or f2(x) = e^(-2*x). Note that the latter still fits the format, with b = e^(-2). The inverse is the logarithmic function. So for y = f1(x) = 3*(10^x), reverse the x & y, and solve for y:x = 3*(10^y)log(x) = log(3*(10^y)) = log(3) + log(10^y) = log(3) + y*log(10) = y*1 + log(3)y = log(x) - log(3) = log(x/3)The second function: y = e^(-2*x), the inverse is: x = e^(-2*y).ln(x) = ln(e^(-2*y)) = -2*y*ln(e) = -2*y*1y = -ln(x)/2 = ln(x^(-1/2))See related link for an example graph.
For a quotient x/y , then its log is logx - log y . NOT log(x/y)
A log-log scale is a set of axes where each axis is logarithmic in scale.
to log in friendster.com
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linear: LINE example--- line non-linear: not a LINE example--- parabola The other possibility is a graph with a non-linear scale. First a linear scale will have each unit represent the same amount, regardless of where you are on the scale. A semilog scale, has a linear scale in the horizontal direction, and a logarithmic scale in the vertical direction. Exponential functions (such as ex & 10x), will graph as a straight line on this type of graph scale). A logarithmic or log-log scale, has logarithmic scales on both horizontal and vertical axis. Power functions (such as sqrt(x), x2 and x3), graph as a straight line on these scales. See Related Link
Not necessarily. It depends on the graph "paper" used. For example, you can get semi-log graph paper in which the x-axis is normal but the y-axis has a logarithmic scale. This feature is available on Excel in "format axis". On such a coordinate system, an exponential equation becomes a straight line.
A gradient of 0.5 on a log-log graph indicates a power-law relationship between the variables being measured. This means that the relationship between the variables is proportional to the square root of one variable raised to the power of 0.5.
To prove graphically that a reaction is first order, you would plot the natural log of the concentration of the reactant versus time. If the resulting graph is linear, then the reaction is first order. This linear relationship indicates that the rate of the reaction is directly proportional to the concentration of the reactant.
Yes, the resulting function is a straight line. This is the source:http://www.mathbench.umd.edu/mod207_scaling/page10.htm
A normal graph plot one variable against another. If one of these variable has a very rapid rate of growth it would quickly disappear off the graph. If you used a graph large enough to show the entire range you would lose much of the detail at the lower end. Using a log or semi-log graph reduces the rate of change whilst still allowing you to represent the relationship between the variables. You can see an example of log graph paper using the lnk in the related links section below.
A graph that shows the plotted course of a logarithmic expression.
The graph of log base b(x-h)+k has the following characteristics. the line x = h is a vertical asymptote; the domain is x>h, and the range is all real numbers; if b>1, the graph moves up to the right. of 0>b>1, the the graph moves down to the right.
The order of a reaction can be determined graphically by analyzing concentration versus time data. For a first-order reaction, plotting ln(concentration) versus time should give a straight line. For a second-order reaction, plotting 1/concentration versus time should give a straight line. The slope of the line in these graphs reveals the order of the reaction.
why would you use a semi-logarithmic graph instead of a linear one?what would the curve of the graph actually show?
semi log paper is very beneficial for us because when we get a big value of the experiment then we cannot put it easily to a general graph paper because we have to take more than two or three graph paper .so in semi log paper we can easily put the big value of the experiment because we know that log(1)=0.so when the value of log is greater than we can use it.