1. When solving logarithm problems involving multiple different bases, logarithms with different bases can be converted into logarithms with the same base by using the logarithm exchange formula, thus simplifying the calculation.

2. In computer programming, logarithm calculation of different bases can be realized by using logarithm exchange formula. For example, the logarithm of any base can be converted into the logarithm of base 10 by using the base-changing formula, which is convenient for calculation.

3. Logarithmic base-changing formula can also be used for other operations of logarithm, such as finding the quotient of logarithm and finding the idempotent of logarithm. Solving logarithmic equation problem: When solving logarithmic equation problem, logarithmic equation can be transformed into algebraic equation by using logarithmic basis formula, which is convenient for solving.

4. Calculating logarithmic values: In the fields of scientific calculation and engineering, it is often necessary to calculate logarithmic values. The logarithmic inversion formula can be used to calculate the logarithmic value of a number conveniently, and at the same time, it can also convert a logarithmic value into a corresponding real value.

5. Encryption and coding: Logarithmic formula is also widely used in encryption and coding technology. For example, a message can be converted into a logarithmic value, and then the logarithmic value is encrypted and transmitted by an encryption algorithm, and the receiver uses the logarithmic conversion formula to restore the encrypted logarithmic value to the original information.

6. Signal processing: In the field of signal processing, logarithmic formulas are usually used to convert the intensity or amplitude of signals into comparable values for further processing and analysis.

Influence of logarithmic inversion formula;

1. Simplified calculation: Logarithms with different bases can be converted into logarithms with the same base by using the logarithm-to-base formula, thus simplifying the calculation process of logarithmic operation. This helps to improve the efficiency of mathematics and scientific calculation.

2. Convenient solution: When solving mathematical problems involving logarithm, the logarithm base formula can easily transform the problem into a form that is easy to solve. Multiple logarithmic functions can be transformed into a logarithmic function with the base of 10 by using the logarithmic base formula, which makes the calculation simple and clear.

3. Promote interdisciplinary communication: Because the logarithm-for-base formula can convert the logarithm of different bases into the logarithm of the same base, scientists and engineers in different fields can analyze and deal with problems on the same scale. This will help to promote interdisciplinary exchanges and cooperation and promote the progress of science and technology.

4. Wide application: Logarithmic formula is widely used in mathematics, science, engineering and technology. In physics, we can use logarithmic formula to calculate some complex physical phenomena, such as the propagation of electromagnetic waves and the attenuation of sound. In chemistry, we can use logarithmic formula to calculate the equilibrium constant and reaction rate of chemical reaction.