SOLUTION: What is the inverse of log(7x? How do is solve for n? 1/2=log(n3 4.6*2^(n-1) How do i construct an exponential function from this

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is the inverse of log(7x? How do is solve for n? 1/2=log(n3 4.6*2^(n-1) How do i construct an exponential function from this      Log On


   

Question 963167: What is the inverse of log(7x?


How do is solve for n? 1/2=log(n3


4.6*2^(n-1) How do i construct an exponential function from this
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the inverse of log%287x%29+ is 10%5Ex%2F7
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1%2F2=log%28n%5E3+%29
1%2F2=3log%28n%29
%281%2F2%29%2F3=log%28n%29
1%2F6=log%28n%29
1%2F6+=+%28log%28n%29%29%2F%28log%2810%29%29
%281%2F6%29log%2810%29+=+log%28n%29
log%2810%5E%281%2F6%29%29+=+log%28n%29....if log same, then
10%5E%281%2F6%29+=+n
n=root%286%2C10%29
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functions of the type y+=+a%2A+b%5Ex are called "exponential functions"
you have 4.6%2A2%5E%28n-1%29+=4.6%2A%282%5En%2F2%29=2.3%2A2%5En
so, exponential form is => y+=2.3%2A2%5En