Answer: x = 995
Step-by-step explanation:
In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.
[tex]log_{10}(x+3) + log_{10}(2) = 3[/tex]
Now we put every equation as the exponent of our base 10 looks like this:
[tex]10^{log_{10} (x+3)} + 10^{log_{10} (2)} = 10^{3}[/tex]
Now we cancel out the log base 10 and the 10. We are left with:
(x+3) + (2) = 10^3
Lastly solve for x
x + 5 = 1000
x = 995
