Alter Equation Log For Free

How do I convert the base of log to other base like log10 to log2 etc.?It's simplicity itself.So there are two alternative ways to convert: multiply by the new base log of the old base, or divide by the old base log of the new base.

To rid an equation of logarithms, raise both sides to the same exponent as the base of the logarithms. In equations with mixed terms, collect all the logarithms on one side and simplify first.

According to the change-of-base formula, we can rewrite the log base 2 as a logarithm of any other base. Since our calculators can evaluate the natural log, we might choose to use the natural logarithm, which is the log base e. {log210=ln10ln2Apply the change of base formula using base e.

Usually log(x) means the base 10 logarithm; it can, also be written as log10(x) . log10(x) tells you what power you must raise 10 to obtain the number x. 10x is its inverse. ln(x) means the base e logarithm; it can, also be written as loge(x) .

To convert a natural antilog to a base=10 antilog, multiply by the conversion factor 2.303 before taking the natural antilog..For example, to calculate the base-10 antilog of -3: Use your calculator to find InvLn(-32.303) = InvLn(-6.909).For example, to calculate the base-10 antilog of -8.45:

To convert a number from a natural to a common log, use the equation, ln(200bx200b) = log(200bx200b) ÷ log(2.71828).

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.