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The inverse of a logarithmic function is an exponential function. When you graph both the logarithmic function and its inverse, and you also graph the line y = x, you will note that the graphs of the logarithmic function and the exponential function are mirror images of one another with respect to the line y = x.

In order to convert it to logarithmic form, you'll have to first pay attention to the base. The b is the base in b E = N b^E=N bE=N. This base will be the same as the base in the equation's logarithmic form, and will be denoted by the little b beside log as shown in the definition above.

We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.

The change of base formula is the formula that will give you the answer of a log with a different base by using only log calculations with a base of 10.You can change a log with a base of 2 to logs with a base of 8, for example, by using this same formula.

By the definition of a logarithm, a=br . Now we can take the base x logarithm of both sides of the equation to end up with logx(a)=logx(br) . loga(b)=logx(a)logx(b) . Therefore, the change of base formula works for any number x as long as logx is defined.

You can convert the log values to normal values by raising 10 to the power the log values (you want to convert). For instance if you have 0.30103 as the log value and want to get the normal value, you will have: "10^0.30103" and the result will be the normal value.

The general steps for converting a base 10 or "normal" number into another base are: First, divide the number by the base to get the remainder. This remainder is the first, ie least significant, digit of the new number in the other base. Then repeat the process by dividing the quotient of step 1, by the new base.