Chapter 4.4, Problem 5E

To determine

To fill: The blanks most calculators can find logarithm with base $\boxed{}$ and base $\boxed{}$ . To find logarithms with different bases, we use the $\boxed{}$ formula .To find log 12 we write

  ${\log }_{7}12=\frac{\log \boxed{}}{\log \boxed{}}\approx \boxed{}$

Answer to Problem 5E

The complete statement 1,.most customers can find log with base ‘e’ and base 10.

Statement 2, for any base, we use change of base formula.

Statement3, ${\log }_{7}12=\frac{\log 12}{\log 7}=1.277$ .

Statement 4, yes we get same answer.

Explanation of Solution

Given information:

The statement fill the blanks can we find logarithm with base and the base .and the formula of the base.”

Consider the provided statement can find logarithm with base $\boxed{}$ .

Mostly the calculation is done with base ‘e’ and base 10.

For example:

  $\begin{array}{c}{\log }_{10}12=\log 12\\ =1.079181\end{array}$

So statement2, for any base we change of base formula according to the statement .

For statement3, ${\log }_{7}12=\frac{\log 12}{\log 7}=1.277$

For statement4, by any formula by which solution of the question we get the result will always same.