Question

solve for x and show steps: 4^(3x)=1/√2

Answer 1

(2^2)^(3x) = 2^(-1/2)

Answer 2

6x=-1/2

Answer 3

x=-1/12

Answer 4

@raheen
where did the "-" came from >??????

Answer 5

1/sqrt(2) = 1/2^(1/2) = 2^(-1/2)

Answer 6

1/a^m = a^(-m)

Answer 7

okay i got them to the same base where the equation is \[(2^2)^3x=2^-1/2\] but you cant multiply the 2 and 3x because the 3x is a power of the 2

Answer 8

ok ok

Answer 9

its equal to -1/2 sorry