enter the correct answer in the box. jackson needs to determine the value of x in this equation. rewrite the…

enter the correct answer in the box. jackson needs to determine the value of x in this equation. rewrite the expression as a logarithmic quotient that he could enter in his calculator. 1.13^x = 2.97

enter the correct answer in the box. jackson needs to determine the value of x in this equation. rewrite the expression as a logarithmic quotient that he could enter in his calculator. 1.13^x = 2.97

Answer

Explanation:

Step1: Apply logarithm property

Given (a^x = b), we can rewrite it as (x=\frac{\log b}{\log a}) using the change - of - base formula. For the equation (1.13^x = 2.97), we take the common logarithm (base - 10) of both sides.

Step2: Solve for x

By the property (\log(a^x)=x\log(a)), we have (x\log(1.13)=\log(2.97)). Then (x = \frac{\log(2.97)}{\log(1.13)}).

Answer:

(\frac{\log(2.97)}{\log(1.13)})