SOLUTION: Log{subscript 8}x + log{subscript 8}(x-2)=2

Algebra.Com
Question 631802: Log{subscript 8}x + log{subscript 8}(x-2)=2
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Log{subscript 8}x + log{subscript 8}(x-2)=2
log8(x)+log8(x-2)=2
log8[x(x-2)]=2
exponential form:
8^2=x(x-2)
x^2-2x=64
x^2-2x-64=0
use following quadratic formula to solve:

a=1, b=-2, c=-64
ans:
x=-7.062 (reject, x>0)
or
x=9.062

RELATED QUESTIONS

log (subscript 2) (x^2+8) = log (subscript 2)x +log (subscript... (answered by chiefman)
log subscript 2 times 24 - log subscript 2 times 3 = log subscript 5 times x 24/3 = 6 (answered by stanbon)
solve the equation: log (subscript of 8) 2x^2+log(subscript of 8)... (answered by scott8148)
Can someone please help me? Solve for x in terms of k log{subscript 5}x +... (answered by stanbon)
Solve: log(subscript 6)x + log(subscript 6)(x-5) = 2 (answered by edjones)
solve for x. log(subscript 3)(x^2+5x)-log(subscript... (answered by edjones)
solve: log subscript 4(10-x)=2-log subscript 4(-x-5).... (answered by rapaljer)
Express the following as a single logarithm. Assume that all variables represent positive (answered by rapaljer)
5 log subscript 8,... (answered by tommyt3rd)