Assign Equation Log For Free

For example, 32 = 2 × 2 A— 2 A— 2 A— 2 = 22. The exponential function 22 is read as two raised by the exponent of five or two raised to power five or two raised to the fifth power. Then the logarithmic function is given by; f(x) = log b x = y, where b is the base, y is the exponent, and x is the argument.

The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a22601. It is called the logarithmic function with base a. Consider what the inverse of the exponential function means: x = ay.

Using Logarithmic Functions Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity). Let's look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes.

The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a22601. It is called the logarithmic function with base a. Consider what the inverse of the exponential function means: x = ay.

Turn the variable inside the log into an exponential equation (which is all about the base, of course). For example, to solve log3 x = 4, change it to the exponential equation 34 = x, or 1/81 = x. Keep in mind that because logs don't have negative bases, you throw the negative one out the window and say x = 4 only.

To convert from exponents to logarithms, we follow the same steps in reverse. We identify the base b, exponent x, and output y. Then we write x=logb(y) x = l o g b ( y ) .

The Four Basic Properties of Logslogb(xy) = logbx + logby. logb(x/y) = logbx - logby. logb(xn) = n logbx. logbx = logax / logab.