Question

the solution to log(x+9)=log4x is equal to 4.
true or false?

Answer 1

graph

Answer 2

Let's check it:
\[\log_{}(x+9)=\log_{} 4x\]
Now, this is exactly the same as the exponential equations. If we hace the same logaritms we can make everything a polinomial equality with the arguement of the logarithm.
so by that statement I can say this:
\[x-9=4x\]
sustracting 4x to both sides, and adding 9 as well we end up with:
\[-3x=9\]
\[x=\frac{ 9 }{ -3 }\]
\[x=-3\]
So with that,we can say that the statement is false.

Answer 3

Is x = 4 the solution to log(x+9) = log4x ?
Put x = 4. LHS is log(13), RHS is log(16). They are not the same and so x = 4 is not a solution.

Answer 4

thank yall!