What is the solution, or what are the solutions, of log9x2 = log925?

no solution

5 only

–5 only

–5 and 5

Question

What is the solution, or what are the solutions, of log9x2 = log925?
		
no solution
		
5 only
		
–5 only

		
–5 and 5

danjs · Answer

there are a couple log rules that are always used,  like 3 or 4 to be memorized

danjs · Answer

like the power one,   you have log of x^2,   power can pull down to front  2 log x

anonymous · Answer

ok

danjs · Answer

actually here, both sides are  log base 9 of (something)

you can remove the logs by 9^[log9(x^2)]  =  x^2

anonymous · Answer

would it be  the first?

danjs · Answer

$$\large b^{\log _{b}(x) } = x$$

inverse of log function ,

danjs · Answer

x^2 = 25   then is left

anonymous · Answer

5

danjs · Answer

the log functions can only have + values of X

the inverse of the log,  the exponential function, can have any + or - value for X

danjs · Answer

|dw:1443480711313:dw|

danjs · Answer

overall shape is like that for the logs, the domain is x values greater than zero