Evaluate log ⁡ 64 using the change of base formula?Is that even possible? I mean,...

Kasey Reese

Kasey Reese

Answered

2022-10-26

Evaluate log 64 using the change of base formula?
Is that even possible? I mean, there is no base.

Answer & Explanation

Tirioliwo

Tirioliwo

Expert

2022-10-27Added 12 answers

Usually, log means log e = ln or log 10 . Either way, there isn't a neat answer to the question. The most you can do is write ln 64 = 6 ln 2 and log 10 64 = 6 log 10 2, using that 2 6 = 64. Now the problem boils down to knowing the values of ln 2 and log 10 2. These values can be approximated numerically using calculus, for example.

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