General Math

Question

What is value of $\log _{2}10$?

In general calculator $\ln _{2}10$ is giving 2.3....

But it should be 3. something

right?

Comments

We know that

log_ab = log_xb/log_xa

Again we also know that ln(x) = log_ex

So, log₂10 = log_e10/log_e2 = ln 10/ln 2 = ln₂10.

Hence log₂10 = ln₂10.

I have computed ln₂10 = ln 10 / ln 2 in my calculator and my result is 3.321.

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yes

good one