Answer:
The value of w is:
[tex]w=3\cdot log_{10}(40)[/tex]
Step-by-step explanation:
We have to calculate w from the equation
[tex]0.75\cdot 10^{w/3}=30[/tex]
The solution has to be expressed as a logarithm in base 10.
We can solve it like:
[tex]0.75\cdot10^{w/3}=30\\\\10^{w/3}=30/0.75=40\\\\(w/3)log_{10}(10)=log_{10}(40)\\\\w/3=log_{10}(40)\\\\w=3\cdot log_{10}(40)[/tex]
The value of w is:
[tex]w=3\cdot log_{10}(40)[/tex]
