SOLUTION: Find the unknown in the equation log 11 = log(10^z+4 plus 10^z+3) What are the steps to get the answer z = -3?

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Question 133254: Find the unknown in the equation log 11 = log(10^z+4 plus 10^z+3)
What are the steps to get the answer z = -3?

Found 2 solutions by stanbon, vleith:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log 11 = log(10^(z+4) + 10^(z+3))
log 11 = log(10000*10^z + 1000*10^z)
log 11 = log(11000*10^z)
log 11 = log11000 + log10^z
log 11 = log11000 + z
z = log11 - log11000
z = log(11/11000)
z = log(1/1000)
z = -3
==============
Cheers,
Stan H.

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Given:
Then




z = -3

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