Asked by Joshua L.
my problem is as follows: Solve:
3^x-2=9^x+4
do I "log" both sides or "ln" both nor either?
3^x-2=9^x+4
do I "log" both sides or "ln" both nor either?
Answers
Answered by
Steve
remember that 9^x = (3^2)^x = 3^(2x)
so, setting everything to base 3, you have
3^(x-2) = 3^(2(x+4))
now take logs to base 3 on both sides (meaning: if the numbers are equal, then the powers are equal), to get
x-2 = 2(x+4)
x = -10
so, setting everything to base 3, you have
3^(x-2) = 3^(2(x+4))
now take logs to base 3 on both sides (meaning: if the numbers are equal, then the powers are equal), to get
x-2 = 2(x+4)
x = -10
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