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Multiplying Logs With Different Bases. September 22 2019Craig Barton. A n b n a b n. If we have logs with different bases we can change their bases to either base e or 10 and multiply. I work through an example of solving an equation with multiple logarithms that have different bases.
How do you multiply the following logs. As always the arguments of the logarithms must be positive and the bases of the logarithms must be positive and not equal to in order for this. In order to multiply indices when the bases are different we need to write out each term and multiply them together. This is where the change of base formula comes in handy. Become a member and. The rest of my free math lessons about logs can be foun.
The rest of my free math lessons about logs can be foun.
If you are multiplying two logs with the same base you can convert this to a standard log form to solve Note. Multiplying exponents with different bases When the bases are diffenrent and the exponents of a and b are the same we can multiply a and b first. I work through an example of solving an equation with multiple logarithms that have different bases. See full answer below. Multiplication in different bases. Talks and workshops.