Question

(1/8) = 4^ (6x+2)

[A] Negative 5/6
[B] Negative 7/12
[C] Negative 5/12
[D] Negative 1/12

Please explain how you got the answer so I may learn. Thank you!

Answer 1

1/8=4^(6x+2)  take the natural log of both sides

ln(1/8)=(6x+2)ln4  divide both sides by ln4

ln(1/8)/ln4=6x+2  subtract 2 from both sides

[ln(1/8)/ln4]-2=6x  divide both sides by 6

x=([ln(1/8)/ln4]-2)/6

x=-3.5/6

x=-7/12