Question

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

log base 10

please help showing procedure THANKS!

Answer 1

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?

Answer 2

Solving for x

Answer 3

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

Answer 4

Please note that \[10^{\log_{10} x}=x\]

Answer 5

How would you use this fact?

Answer 6

so using that, plus the properties of logarithms I got:

logx - log30 = 3-x

Is that right?
what do I do next?