SOLUTION: Solve 1. log2(4x + 1)= 5 2. log x + log(x + 3) = 10

Question 297735: Solve
1. log2(4x + 1)= 5
2. log x + log(x + 3) = 10
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The word "log" or "ln" means exponent or power.
When you see log2(x) = 3 it means 3 is the exponent of 2 that gives you x.
2^3 = x
x = 8
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Now, for your problems:
Solve
1. log2(4x + 1)= 5
4x+1 = 2^5
4x+1 = 32
4x = 31
x = 31/4
---------------------------------
2. log x + log(x + 3) = 10
log[x(x+3)] = 10
x(x+3) = 10^10
x^2 + 3x = 10*10
x^2 + 3x - 10^10 = 0
Use the quadratic formula to find a positive solution.
==============
Cheers,
Stan H.

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