SOLUTION: 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

Algebra ->  Exponents -> SOLUTION: 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      Log On


   

Question 581597: 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1)log(4x+10)=3
the exponent equiv of logs
4x + 10 = 10^3
4x + 10 = 1000
4x = 1000 - 10
4x = 990
x = 990/4
x = 247.5
:
2)1/2 log6 16x +5 = 8
not sure what you mean here, but will assume this
1%2F2log6(16x) = 8 - 5
1%2F2log6(16x) = 3
multiply both sides by 2
log6(16x) = 6
16x = 6%5E6
16x = 46656
x = 46656/16
x = 2916
:
3)In(x+4) = -2
x + 4 = e^-2
x + 4 = .1353
x = .1353 - 4
x = -3.864