Question

If Logx (1 / 8) = - 3 / 2, then x is equal to

Answer 1

Log_x(1/2) = -3/2
is the same as

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

Answer 2

x^(-3/2 = 1/2 .. i think you can try these

Answer 3

Logrithmic rules

1) log_b(mn) = log_b(m) + logb(n)

2) log_b(m/n) = log_b(m) – logb(n)

3) log_b(m^(n)) = n · log_b(m)

4) log_3(3) = 1

5) log_e(x) = ln(x)

6) log(x) = y is the same as x =10^(y)

7) log_10(x) = log(x)

Answer 4

1 / x^3/2 = 1/2 right?

Answer 5

yes

Answer 6

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

Raise both sides of the euqation by the power of 2

x^(-6/2) = (1/2)^(2)
x^(-3) = (1/2)^(2)
Now take the negative cube root of both sides
x = (1/2)^(-2/3)

Answer 7

its not 1/2 its 1/8 .. waa my mistake

Answer 8

8 = x^3/2
8 = sqrt x^3
64 = x^3
then
x=4?

Answer 9

2^(2/3) is the answer if it was 1/8

8^(-1)^(-2/3)
=
8^(2/3)

Answer 10

yes you are right

Answer 11

simple algebra

Answer 12

@ampohmeow i think it is

Answer 13

thanks a lot .. even its simple .. im here to learn

Answer 14

way to go ampohmeow .. you can post questions here if you like ..

Answer 15

Yeah we all have to start somewhere I was having a hard time with this math just 8 months ago now I'm getting 90s on calc I midterms