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Question

Solve the following systems of equations.
log5x+log2=log(x+3),x2+7x8=0

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Solution

log5x+log2=log(x+3) x2+7x8=0
log(25x)=log(x+3)
25x=x+3
4(5x)=x2+9+6x
x2+10x11=0
(x+11)(x1)=0
x=11,1
(x+8)(x1)=0
x=1,8
=x=1 is the common solution

1124970_888466_ans_114d8269006d49afbbef464209f858d7.jpeg

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