SOLUTION: Solve for x:
log_{8}1/256 = x
Algebra.Com
Question 409680: Solve for x:
log_{8}1/256 = x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
First we'll write this in exponential form. In general is equivalent to . Using this pattern on your equation we get:
Since both 8 and 1/256 are powers of 2, and (so ), we will be able to find the solution "by hand". Rewriting the 8 and the 1/256 as a powers of 2 we get:
On the right side the rule for exponents when raising a power to a power tells use to multiply the exponents:
Now the equation says that two powers of 2 are equal. The only way this can be true is if the exponents themselves are equal, too. So:
-8 = 3x
Dividding by 3 we get:
RELATED QUESTIONS
solve for x: log(x + 9) = 1 - log(x - 8)
(answered by MathLover1,lwsshak3)
Solve for x: log(3x+8) - log(x-2)... (answered by solver91311)
Solve for x. Please round answer to four decimal places.
2^(4/log base 3 (x)) = 1/256... (answered by Fombitz)
find the value of x in logarithm... (answered by lwsshak3)
Solve for X
log(x + 8) − log(8x + 1) = log... (answered by MathLover1)
solve for x
log(x+8)-log(x)=1
{{{ sqrt (3)^(x+1) = 9^(6x-1) }}}
(answered by lwsshak3)
solve for x:
4log6^x =... (answered by stanbon)
Solve for x
log (9 ^ log base3 x+1) + log (2x+3/x+1) = log base4... (answered by jsmallt9)
solve for x:
log x + log(x-1) =... (answered by nerdybill)