SOLUTION: How do I solve this? log(x-1)=-2 and check the solution?
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Question 998190: How do I solve this? log(x-1)=-2 and check the solution?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
It really depends on the value of the logarithm base that you assume when the base is not specified.
)
refers to )
in computer science and information theory.
refers to )
or the natural logarithm in mathematical analysis, physics, chemistry, statistics, economics, and some engineering fields.
refers to )
in various engineering fields, logarithm tables, and handheld calculators.
Either way, you use the same process to solve. I'll assume base 10 to demonstrate.
\ =\ y\ \Leftrightarrow\ b^y\ =\ x)
So
\ =\ -2\ \Leftrightarrow 10^{-2}\ =\ (x\ -\ 2))
Hence
Check
\ =\ -2)
John
My calculator said it, I believe it, that settles it
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