Very silly question on whether the domain of ##log_{10}(x²)## = ##2log_{10}(x)##

[tellmesomething]

Homework Statement

Title

Relevant Equations

Title

So say I have to find the x intercept of this function $$log_{10}(x²)$$ I get x={-1,1}.
But if I try to find the x intercept of this same function after simplifying I get $$2log_{10} (x)$$ I get x={1}

 

[Hill]

Homework Statement: Title
Relevant Equations: Title

So say I have to find the x intercept of this function $$log_{10}(x²)$$ I get x={-1,1}.
But if I try to find the x intercept of this $same function$ after simplifying I get $$2log_{10} (x)$$ I get x={1}

After simplifying, you get $2log_{10} (|x|)$ rather than $2log_{10} (x)$, which has the same intercept as the original function.

 

[tellmesomething]

After simplifying, you get $2log_{10} (|x|)$ rather than $2log_{10} (x)$, which has the same intercept as the original function.

Okay then :-)