SOLUTION: log5 (x-10)-log5 3=2

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Question 956814: log5 (x-10)-log5 3=2
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%285%2C+%28x-10%29%29-log%285%2C+3%29=2
log%285%2C+%28x-10%29%2F+3%29%29=2.........change the base to base 10
log%28%28x-10%29%2F+3%29%2Flog%285%29=2
log%28%28x-10%29%2F+3%29=2log%285%29
log%28%28x-10%29%2F+3%29=log%285%5E2%29
log%28%28x-10%29%2F+3%29=log%2825%29.......if log same, then
%28x-10%29%2F+3=25
%28x-10%29=25%2A3
x-10=75
x=75%2B10
x=85

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

log5 (x-10)-log5 3=2
log+%285%2C+%28x+-+10%29%29+-+log+%285%2C+3%29+=+2

log+%285%2C+%28x+-+10%29%2F3%29+=+2 ---- Logarithmic form

%28x+-+10%29%2F3+=+5%5E2 ------- Exponential form

%28x+-+10%29%2F3+=+25

x - 10 = 75 ------- Cross-multiplying

x = 75 + 10, or highlight_green%2885%29