Question

the value of logarithm of 8 to the base 2 is​

Answer 1

Answer:

$\red {Value \: of \:log _{2} \: 8 \\= log _{2} \: 2^{3} }} \green {= 3 }$

Step-by-step explanation:

$Value \: of \:log _{2} \: 8 \\= log _{2} \: 2^{3} \\= 3 \times log_{2} \:2$

$\boxed { \pink { log\: a^{m} = m \times log a }}$

$= 3 \times 1$

$\boxed { \orange { log_{a}\: a= 1 }}$

$= 3$

Therefore..

$\red {Value \: of \:log _{2} \: 8 \\= log _{2} \: 2^{3} }} \green {= 3 }$

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