SOLUTION: Solve : a) 2logbase6 x - logbase6 4=logbase6(x-1) b) 4^(1-x)=3*5^x
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-> SOLUTION: Solve : a) 2logbase6 x - logbase6 4=logbase6(x-1) b) 4^(1-x)=3*5^x
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Question 134645
:
Solve :
a) 2logbase6 x - logbase6 4=logbase6(x-1)
b) 4^(1-x)=3*5^x
Answer by
edjones(8007)
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a) 2logbase6 x - logbase6 4=logbase6(x-1)
log[6]x^2-log[6]4=log[6](x-1)
log[6](x^2/4)=log[6](x-1)
x^2/4=x-1
x^2=4x-4
x^2-4x+4=0
(x-2)^2=0
x=2
.
Ed