Given
[tex]Log_43[/tex]
To Determine: The value of the given using change of base formula
Solution
The change of base formula is given as
[tex]Log_ab=\frac{log_cb}{Log_ca}[/tex]
Apply the change of base formula to the given logarithm
[tex]\begin{gathered} Log_43 \\ Let\text{ the common base be 10} \\ Therefore: \\ log_43=\frac{log_{10}3}{log_{10}4} \end{gathered}[/tex]
[tex]\begin{gathered} log_43=\frac{0.4771}{0.602059} \\ log_43=0.792406 \\ log_43\approx0.792(nearest\text{ thousands} \end{gathered}[/tex]
Hence, the solution is 0.792 to the nearest thousandths
