If 5 ^x-3 = 10, what is the value of x?
\(\text{I am going to go through the 2 possibilities of what this question means.(5^x-3 and 5^(x-3))}\)
\(5^x-3=10\\ 5^x=13\\ x = log_513\\\text{Which is about 1.59}\)
\(5^{x-3}=10\\ x= log_510 + 3\\\text{Which is about 4.43}\)
\(5^x-3=10\\ 5^x=13\\ log5^x=log13\\ xlog5=log13\\ x=\frac{log13}{log5}\\\)
(log(13)/log(5)) = 1.593692641167082