SOLUTION: Can someone please help me? Solve for x in terms of k log{subscript 5}x + log{subscript 5)(x+2) = k x= ? Find x if k=8 ?

Question 220517: Can someone please help me?
Solve for x in terms of k
log{subscript 5}x + log{subscript 5)(x+2) = k
x= ?
Find x if k=8 ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for x in terms of k
log{subscript 5}x + log{subscript 5)(x+2) = k
x= ?
Find x if k=8 ?
------------------------
log5(x) + log5(x+2) = k
Rewrite:
log4[x(x+2)] k
x^2+2x = 4^k
--------------------
Now, if k = 8 you get:
x^2 + 2x = 4^8
---
x^2+2x- 65536 = 0
Comment:
This does not factor neatly.
It can be solved using the quadratic formula.
I'll leave that to you.
Cheers,
Stan H.
RELATED QUESTIONS
If log (subscript 9) 5 =x and log (subscript 9) 4 = y, express the given logarithm in... (answered by scott8148)

Hello, Could someone please help me simplify these logarithms/ 1.... (answered by stanbon)

please help me solve for x algebraically: log subscript 2 x + log subscript 2 (x+2)... (answered by nerdybill,lwsshak3)

Log{subscript 8}x + log{subscript 8}(x-2)=2 (answered by lwsshak3)

Solve: log(subscript 6)x + log(subscript 6)(x-5) = 2 (answered by edjones)

solve: log subscript 4(10-x)=2-log subscript 4(-x-5).... (answered by rapaljer)

log (subscript 2) (x^2+8) = log (subscript 2)x +log (subscript... (answered by chiefman)

What is the real value of x in the equation log(subscript 2) 24- log(subscript 2) 3 =... (answered by scott8148)

If log (subscript b)M=x and log (subscript b)N=y, express the following in terms of x and (answered by user_dude2008,stanbon)