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How to solve for x

I've got so far.


Am I supposed to interpret this as
6x = 0.25x - 1
6x = 0.25(x-1)
It makes a big difference!

1 Answer by Expert Tutors

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Charles D. | Patient and Knowledgeable Tutoring by CharlesPatient and Knowledgeable Tutoring by Ch...
5.0 5.0 (7 lesson ratings) (7)
You were on the right track with the amount of work you did but you just need to finish it. Starting with the following:
x/(2x-1) = Log(0.250/log(6)
Now evaluate and divide the logarithms on the right side and you should get:
x/(2x-1) = -0.7737056145   *I write down the entire value shown on the calculator*
Now multiply both sides by (2x-1) and you should get:
x = -0.7737056145(2x-1)
Using the Distributive Property on the right side you should get:
x = -1.547411229x + 0.7737056145
Now add +1.547411229x to both sides and you should get:
x + 1.547411229x = -0.7737056145
Now add 1x to 1.547411229 on the left side of the equation to get:
2.547411229x = -0.7737056145
Now divide both sides by 2.547411229 and you should get:
x = -0.3037223067 which is the value of x.
Like I said, you were on the right track, you just needed to evaluate the logarithms and work with their values for a little while.