Answer:
[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]
Step-by-step explanation:
Solve the logarithm function.
Put the logarithm function on one side of the equation and x on the other.
log x + log8=2
[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]
First, subtract by log₁₀(8) from both sides.
[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]
Solve.
[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]
[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]
- Therefore, the correct answer is x=25/2=12.5.
I hope this helps you! Let me know if my answer is wrong or not.
