Question 56156: Solve 7^a+4=115.If neccessary, round to the nearest hundredth Found 2 solutions by stanbon, ankor@dixie-net.com:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Solve 7^a+4=115.If neccessary, round to the nearest hundredth
7^a=111
Take the log of both sides to get:
a(log7)=(log111)
a=(log111)/(log7)
a=2.42....
Cheers,
Stan H.
You can put this solution on YOUR website! 7^a + 4 = 115. If necessary, round to the nearest hundredth
:
7^a = 115 - 4
7^a = 111
:
Log equiv of exponents
a * log(7) = log(111)
:
a * (.8451) = 2.0453
:
a = 2.0453/.8451
:
a = 2.42 rounded
:
Check on a good calc: 7^2.42 = 110.9525, pretty close
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