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
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Cheers,
Stan H.
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