log (x + 5) - log (x - 3) = log 2

Cheyanne Leigh

Cheyanne Leigh

Answered question

2020-10-19

log(x+5)log(x3)=log2

Answer & Explanation

unett

unett

Skilled2020-10-20Added 119 answers

We are given: log(x+5)log(x3)=log2
Use the quotient property of logarithms: logbxlogby=logb(xy) log(x+5x3)=log2
Equate the arguments: x+5x3=2
Multiply both sides by x=3:
x+5=2(x-3)
x+5=2x-6
-x=-11
x=11

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