Solve the equation to the nearest thousandth

Question

4 exponent of 2x-1 = 38

Answer 1

4^(2x-1) = 38

Let y= 2x-1

4^y = 38

4^2 = 16

4^3 = 64

2^4 = 16

2^5= 32

2^6 = 64

y= slightly more than 2 1/2

y=2x-1 = 2.624

2x=3.624

x = 1.812

Answer 2

4^{2x - 1} = 38 ⇔ log₄(38) = 2x - 1

2x - 1 = log₄(38) (Use the calculator that has a logarithm function)

2x - 1 = 2.624

2x = 3.624

x = 1.812 (This value is approximated)