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OpenStudy (anonymous):
Solve: 7^(x – 5) = 74^(x + 7)
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OpenStudy (anonymous):
logariddims.
OpenStudy (anonymous):
start with \[(x-5)\ln(7)=(x+7)\ln(74)\] and then to a bunch of algebra to solve for x
OpenStudy (anonymous):
distribute, collect like terms etc
OpenStudy (anonymous):
what did you get for an answer?
OpenStudy (anonymous):
xln7 - 5ln7 = xln74 + 7ln74 xln7 - xln74 = 4ln7 + 7ln74 x(ln7 - ln74) = 4ln7 + 7ln74 x = (4ln7 + 7ln74) / (ln7 - ln74)
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