Question 581652: Using the exponential correlation, how do I solve for x. Round to three decimal places.
1)log(4x+10)=3
2)1/2 log6 16x +5=8
3)In(x+4)=-2 Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Using the exponential correlation, how do I solve for x. Round to three decimal places.
Convert to exponential form: base raised to log of the number=number
1)log(4x+10)=3
10^3=4x+10
1000=4x+10
4x=1000-10=990
x=990/4=247.5
..
2)1/2 log6 16x +5=8
log6(16x)^.5=8-5=3
6^3=(16x)^.5
square both sides
6^6=16x
x=46656/16=2916
..
3)In(x+4)=-2
e^-2=x+4
x=(e^-2)-4=-3.865
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