Question 739560: 5(125)^(x-1)=(625)^(2x-1)
and
ln4+ln(x^2+(3x/4))=0
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 5(125)^(x-1)=(625)^(2x-1)
log(5)+(x-1)log(125)=(2x-1)log(625)
0.6990+2.0969x-2.0969=5.5518x-2.7959
3.4549x=1.3980
x=0.4046
and
ln4+ln(x^2+(3x/4))=0
ln[(x^2+(3x/4))*4]=0
(x^2+(3x/4))*4=1
(x^2+(3x/4)=1/4
4x^2+3x=1
4x^2+3x-1=0
(4x-1)(x+1)=0
x=1/4
or
x=-1 (reject, does not check)
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