SOLUTION: log(base5) x - log(base5)(x-2)= log(base5) 4 Many thanks.

Question 165216This question is from textbook
: log(base5) x - log(base5)(x-2)= log(base5) 4
Many thanks. This question is from textbook

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

Since the bases of the logs on both sides are equal, this means that the arguments of the logs (the stuff inside the logs) are equal

Multiply both sides by

Distribute.

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
2 log (base5)x= 3 log... (answered by lwsshak3)

Combine 4log(base5)x - log(base5)x +... (answered by Gogonati)

Please solve! Log base5 (6x-7) + log base5 x = 1 (answered by scott8148)

Express as a single logarithm: 3... (answered by lwsshak3)

Condense the expression: 1/3 log(base5)8 - 1/2 log(base5)x + 4 log (base5)y Please... (answered by venugopalramana)

solve for x log(base5)(x+3) - log(base5)x =... (answered by ewatrrr)

Solve the following logarithmic equation.... (answered by lwsshak3)

How do you Combine logs? Log(base5)(x^2-1)-Log(base5)(x-1) (answered by orca)

What is the answer of log base5 (x+2) = -log base5 (x) thank... (answered by lwsshak3)