Question 307045: Okay I have 3 questions that if you can solve them and show the work please!!!
1) log(x+2)+log(x-1)=1
2) write and exponential function whose graph passes through (2,6) and (6,8).
30 Write a power function whose graph passes through (2,4)and (6,8).
Please as soon as possible.
Thank you!
Answer by user_dude2008(1862) (Show Source):
You can put this solution on YOUR website! 1)
log(x+2)+log(x-1)=1
log[(x+2)(x-1)]=1
(x+2)(x-1)=10^1
(x+2)(x-1)=10
x^2+x-2=10
x^2+x-12=0
(x+4)(x-3)=0
x+4=0 or x-3=0
x=-4 (ignore) or x=3
only answer is x=3
2)
y=a*b^x
6=a*b^2
a=6/b^2
y=a*b^x
8=(6/b^2)*b^6
8=6b^4
b=(8/6)^(1/4)
b = 1.07456993
a=6/b^2
a=6/(1.07456993)^2
a=5.19615244
equation is y = 5.19615244*1.07456993^x
3)
Is equation supposed to be linear, quadratic, cubic, etc?
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