Answer:
2
Step-by-step explanation:
Use power rule first:
\[tex]\log_{10}(5^2)+\log_{10}(2^3)-\log_{10}(2)[tex]
Now use product and quotient rule (if + in front inside goes on top and if - in front inside goes on bottom)
[\tex]\log_{10}(\frac{5^22^3}{2})[tex]
Reducing inside fraction;
[\tex]\log_{10}(5^22^2)[tex]
Simplifying inside:
[\tex]\log_{10}(100)[tex]
100 is a power of 10...that is 10^2=100 so final answer is 2.
[tex]\log_{10}(100)=2[\tex]
