Question

if log 2 to the base 10 =0.3010, then log 8 to the base 10=​

Answer 1

Answer:

0.903

Step-by-step explanation:

log 2 = 0.3010

log 8 = log 2³= 3 log2 =3× 0.3010=0.903

rule: log aⁿ= n log a

Answer 2

Given,

$\[{\log _{10}}2 = 0.3010\]$

Solution,

$\[\begin{array}{l} = {\log _{10}}8\\ = {\log _{10}}{2^3}\\ = 3 \times {\log _{10}}2\\ = 3 \times 0.3010\\ = 0.903\end{array}\]$

Hence the value of log 8 to the base 10 is $\[0.903\]$