SOLUTION: 4^(1-9x)=3^x Please help me find the value of X

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Question 959166: 4^(1-9x)=3^x
Please help me find the value of X
Found 3 solutions by josgarithmetic, lwsshak3, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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A better form may be more desired.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
4^(1-9x)=3^x
Please help me find the value of X
(1-9x)log4=xlog3
1-9x=xlog3/log4
1-9x=0.7925x
9.7925x=1
x=1/(9.7925)
x≈0.1021
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

4^(1-9x)=3^x
Please help me find the value of X


 -------- Taking log of both sides

1 - 9x * log 4 = x log 3





.792481x = 1 – 9x ------- Cross-multiplying

.792481x + 9x = 1

9.792481x = 1

, or  

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