Question

how to change logarithmic form to exponential form when the sign is ≈ ?

Answer 1

\[\log_{2} 1.866 ≈ 0.9 \]

Answer 2

that says
\[ 2^{0.9}≈ 1.866 \]
if you use a calculator you see
\[ 2^{0.9}≈ 1.866065983... \]

Answer 3

so same rule implies but the difference is that the sign is ≈ ?

Answer 4

The ≈ means approximately. we can't say =, because the number goes on forever, which makes it inconvenient to write down. And it would be wrong to say equal if we round the answer to 1.866, so we say ≈

Answer 5

if we go the other way
\[ \log_2(1.866) = \log_{10}(1.866)/\log_{10}(2) ≈ 0.899948986...\]
which is very close to 0.9

Answer 6

thank you!