I am to seek to solve the exponential equation of 5^(x-3)=242. I have come to this so far:

x = (log(242\/125)+2 i pi n)\/(log(5))

I am also to find the decimal approximation which I have as follows: ~~ 0.62133 (0.66062+6.2832 i n) and n element Z
Double check me someone?

Question

I am to seek to solve the exponential equation of  5^(x-3)=242. I have come to this so far:    

x = (log(242\/125)+2 i pi n)\/(log(5))

I am also to find the decimal approximation which I have as follows: ~~ 0.62133 (0.66062+6.2832 i n) and n element Z
Double check me someone?

ganeshie8 · Answer

lol wolfram is not helpful always

ganeshie8 · Answer

$$\large   5^{x-3} = 242$$

ganeshie8 · Answer

since the variable is in the exponent, we need to take log both sides to bring it down

ganeshie8 · Answer

so start by taking log both sides

anonymous · Answer

*shakes head* No wolfram is not helpful.