SOLUTION: find value of x log 2 base of x+log(x-7)=3 is the same as logx(2) + log(x-7) = 3 the graph is shown below:

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: find value of x log 2 base of x+log(x-7)=3 is the same as logx(2) + log(x-7) = 3 the graph is shown below:       Log On


   

Question 957809: find value of x

log 2 base of x+log(x-7)=3 is the same as logx(2) + log(x-7) = 3

the graph is shown below:



Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
log2(x) + log(x-7) = 3 doesn't have a solution as far as i can see.

i couldn't solve it algebraically, but i could solve it graphically.

the solution is x = 794.40479.

when x = 794.40479, the graph of y = logx(2) + log(x-7) is equal to 3.

it will then intersect with the line of y = 3.

logx(2) is the same as log(2) / log(x), so the equation that was graphed was y = log(2)/log(x) + log(x-7)

log without a base is assumed to be a base of 10 by convention.

here's the graph.

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