1Determine whether the given xvalue is a solution or an appr

(1).Determine whether the given x-value is a solution (or an approximate solution) of the equation. 4^2x-7 = 16 x = 5 (2). Find the magnitude R of each earthquake of intensity I (let I0=1). I = 19000

Solution

1) 4^(2x-7) = 16x

plugging x=5 in both sides we get:

4^(2*5 -7) = 16*5

4^3 = 80

64 = 84

So, x=5 is not a solution

2

R = log(I/Io)

Io=1 ; I = 19000

R = log( 19000/1) = 4.278