SOLUTION: Solve 125^(9x-2)=150 Solve 1/16=64^(4x-3) Solve log(x+9)-logx=3 Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary.

Question 253327: Solve 125^(9x-2)=150
Solve 1/16=64^(4x-3)
Solve log(x+9)-logx=3
Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary.
Answer by hokies(65) (Show Source): You can put this solution on YOUR website!
A. Use the power rule for logarithms:
(9x-2)*log(125)=log(150)
9x = log(150)/log(125)+2
x = (log(150)/log(125)+2)/9
B. 1/16=64^(4x-3)
4^(-2)=4^(3*(4x-3))
-2 = 3*(4x-3)
-2/3 = 4x-3
4x = 3-2/3
4x = 7/3
x = 7/12
C. log(x+9)-log(x)=3
Use the division rule for logarithms:
log((x+9)/x)=3
(x+9)/x = 10^3
1+9/x = 10^3
9/x = 999
x = 9/999
x = 1/111
D. x=1.16
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