Use the change-of-base formula to write (log25)(log59) as a single logarithm.
Use the change-of-base formula to write as a single logarithm.
Answer & Explanation
Skilled2021-10-24Added 96 answers
For natural logarithms the base is e. This is the most commonly used base for logarithm.
Another common base for logarithms is 10. But a logarithm can have any positive real number as its base. And using the change-of-base formula the logarithm of any base can be expressed in terms of natural logarithms.
The given expression to be simplified is . The change-of-base formula is where ln represents natural logarithm. Use this formula to express given expression as a single logarithm.
Hence, the given expression as a single logarithm is \log_29
Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD.