SOLUTION: Solve each exponential equation for x. Give an exact solution and also approximate the solution to four decimals a). 4^(3x+2)=9 b). 5^(3x-5)=4

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Question 685594: Solve each exponential equation for x. Give an exact solution and also approximate the solution to four decimals
a). 4^(3x+2)=9
b). 5^(3x-5)=4
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each exponential equation for x. Give an exact solution and also approximate the solution to four decimals
a). 4^(3x+2)=9
(3x+2)log4=log9
(3x+2)=log9/log4
3x=(log9/log4)-2
x=[(log9/log4)-2]/3 (exact solution)
x=-0.1383..
..
b). 5^(3x-5)=4
(3x-5)log5=log4
3x-5=log4/log5
x=[(log4/log5)+5]/3 (exact solution)
x=1.9538..