SOLUTION: log base 3 (x+1) - log base 3 x = log base 3 8

Question 186942: log base 3 (x+1) - log base 3 x = log base 3 8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Combine the logs on the left side using the identity

Raise both sides as exponents with the base of 3 (this will cancel out the log base 3)

Simplify

Multiply both sides by 8.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the answer is which approximates to .

RELATED QUESTIONS
log(base 3)x+log(base... (answered by scott8148)

Solve for x: (A.) Log(base 5)7 + log(base 5)8 = log(base 5)(2x-4) (B.) Log(base 3)... (answered by Nate)

log base 4 x+log base 4... (answered by stanbon)

log(base 3)(x+1)-log(base 3)(x)= log(base... (answered by josmiceli)

log base(3)3-log base(3)(x-1)=log... (answered by jsmallt9)

log(base)2 x+log(base)8 x+log(base)64 x=3 (then value... (answered by solver91311)

log base 2 (x-2)+log base 2(8-x)-log base... (answered by stanbon)

solve: log 4 base 2 - log (x+3) base 2 = log 8 base... (answered by lwsshak3)

solve the equation. log base b (X+3) = log base b (8) - log base b... (answered by lwsshak3)