Question

Use the change of base formula to compute log43.Round your answer to the nearest thousandth.

Answer 1

Given

`Log_43`

To Determine: The value of the given using change of base formula

Solution

The change of base formula is given as

`Log_ab=(log_cb)/(Log_ca)`

Apply the change of base formula to the given logarithm

`\begin{gathered} Log_43 \\ Let\text{ the common base be 10} \\ Therefore: \\ log_43=(log_(10)3)/(log_(10)4) \end{gathered}`

`\begin{gathered} log_43=(0.4771)/(0.602059) \\ log_43=0.792406 \\ log_43\approx0.792(nearest\text{ thousands} \end{gathered}`

Hence, the solution is 0.792 to the nearest thousandths