SOLUTION: Log subscript 12 ( v squared +35) = log subscript 12 (-12v -1)

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Question 820715: Log subscript 12 ( v squared +35) = log subscript 12 (-12v -1)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Log subscript 12 ( v squared +35) = log subscript 12 (-12v -1)
log%2812%2C%28v%5E2%2B35%29%29=log%2812%2C%28-12v-1%29%29
log%2812%2C%28v%5E2%2B35%29%29-log%2812%2C%28-12v-1%29%29=0
log%2812%2C%28v%5E2%2B35%29%2F%28-12v-1%29%29=0
convert to exponential form: base(12) raised to log of number (0)=(v^2+35)/(-12v-1)
12^0=(v^2+35)/(-12v-1)
(v^2+35)/(-12v-1)=1
v^2+35=-12v-1
v^2+12v+36=0
(v+6)^2=0
v=-6(multiplicity 2)