SOLUTION: sir i have a problem on solving this equation. i am trying to solve x and to simplify it. question: logx 8=-3? i convert it to exponential form x^-3=8 this are the formulas I'v

Question 158892: sir i have a problem on solving this equation.
i am trying to solve x and to simplify it.
question: logx 8=-3?
i convert it to exponential form x^-3=8
this are the formulas I've tried to solve it but I'm not sure if it is correct.
a). (x^-3)^3=(8)^3
x=8^3
x=512:answer
b). i change the negative exponent to positive and transpose it to 8
x=8^3
x=512:answer
c). i get the reciprocal of the exponent and change it to 1/3
it became x^1/3=8
then i do: (cube root of x)^3 = (8)^3
i cancel out cube root of x and it became
x=8^3
x=512:answer
please help me to figure out the answer of this problem because I'm about to go crazy.
for my last question..
is this formula i have given is correct??
i mean is there any possible way to solve it??,,
thank you sir in advance..
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
am trying to solve x and to simplify it.
question: logx 8=-3?8
i convert it to exponential form x^-3=8
Raise both sides to the -1/3 power:
(x^-3)^(-1/3) = 8^(-1/3)
x = (1/8)^(1/3)
x = 1/2
---------------------
Cheers,
Stan H.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
there is an error in a) __ (x^-3)^3=x^-9 __ the exponents multiply

try (x^-3)^(-1/3)=8^(-1/3) __ x=8^(-1/3) __ x=1/2

RELATED QUESTIONS
I am trying to solve this equation and I am having a hard time with it... x^-1 + 3/(x+2)... (answered by Alan3354,Edwin McCravy)
I have tried to work on this problem for about an hour. The problem is (v+16)^3/2 +7=32.... (answered by Seutip)
beginning algebra book I am having a problem trying to solve this equation I have to put (answered by tutorcecilia)
Hi. I had a question about solving this log problem. I asked this a few hours so I'm... (answered by josgarithmetic)
Hello I am working on even, odd, or neither functions. I have been doing great on most of (answered by jsmallt9)
I am trying to figure out:... (answered by stanbon)
Please help me to solve this question: 9 + ? x 3/8 = 15 I tried to work out what ?... (answered by MathTherapy)
I am really stuck on how to answer this question, it says solve the following equation..... (answered by Edwin McCravy)
I am trying to solve a linear equation with three variables and I am stuck on this... (answered by KMST)