Please, write the logarithm as a ratio of common logarithms and natural logarithms. log3(x) a)...

Harlen Pritchard

Harlen Pritchard

Answered question

2021-08-18

Please, write the logarithm as a ratio of common logarithms and natural logarithms.
log3(x)
a) common logarithms
b) natural logarithms

Answer & Explanation

Khribechy

Khribechy

Skilled2021-08-19Added 100 answers

There is log3(x)=log10(x)⋅log3(10)=
=log10(x)log10(3)=
=log⁡(x)log⁡(3)
Similarly, log3(x)=loge(x)⋅log3(e)=
=loge(x)loge(3)=
=ln⁡(x)ln⁡(3)
a) common logarithm: log10(x)log10(3)
b) natural logarithm: loge(x)loge(3)

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