log(x-30)=3-log^x

log base 10

please help showing procedure THANKS!

Question

log(x-30)=3-log^x

log base 10 

please help showing procedure THANKS!

mathmale · Answer

What is the object of this problem?  Please provide the instructions that came with it.

Next:  if you wish to eliminate that log from the equation, which is the appropriate treatment of both sides of the equation?  What is the inverse of the log function?

anonymous · Answer

Solving for x

mathmale · Answer

The inverse function of the log function is the power function with base 10.  Try using this info.

mathmale · Answer

Please note that $$10^{\log_{10} x}=x$$

mathmale · Answer

How would you use this fact?

anonymous · Answer

so using that, plus the properties of logarithms I got:

logx - log30 = 3-x

Is that right? 
what do I do next?