What is the solution to x?

Question

9.207=9.389+log(x/0.0186186)

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Answer 1 · 2018-03-21T08:40:24

#x=0.012246162~~1.22*10^-2#

Given: #9.207=9.389+log(x/0.0186186)#

We subtract #9.389# from both sides and get,

#log(x/0.0186186)=-0.182#

Using logarithm properties, #log(x/0.0186186)=logx-log(0.0186186)#, and so we get,

#logx-log(0.0186186)=-0.182#

#logx=log(0.0186186)-0.182#

#logx=-1.73-0.182#

#logx=-1.912#

#x=10^-1.912#

#=0.012246162#

Answer 2 · 2018-03-21T08:41:03

Here's what I got.

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