Answer:
Common logarithm
[tex]log_451= \frac{log_1_045}{log_1_08}[/tex]
Natural logarithms
[tex]log_445= \frac{log_e45}{log_e4}[/tex]
or
[tex]log_445= \frac{In45}{In4}[/tex]
Step-by-step explanation:
From the question we are told that
[tex]Log_445[/tex]
Generally converting log from base x to base 10 si mathematically represented as
[tex]log_xa=log_1_0a *log_x10[/tex]
[tex]log_xa= \frac{log_1_0a}{log_1_0x}[/tex]
Therefore
Common logarithm
[tex]log_451= \frac{log_1_045}{log_1_08}[/tex]
Generally Natural logarithms [tex]log_ex\ or\ inx[/tex] is mathematically represented as
[tex]log_xa= \frac{log_ea}{log_ex}[/tex]
Therefore
Natural logarithms
[tex]log_445= \frac{log_e45}{log_e4}[/tex]
or
[tex]log_445= \frac{In45}{In4}[/tex]
