final exam cram

First, do 7^5, which is equal to 16807.

Then you have 16807x-1=343

Add the one to the 343 in order to isolate your variable.

16807x=344

Divide both sides by 16807, and you're left with

 

x=0.02046766228

or

x≈0.02

Solve:  7^{5x - 1}  =  343

--->      7^{5x - 1}  =  7³ 

--->      5x - 1  =  3

--->            5x  =  4

--->             x  =  4/5