SOLUTION: I am supposed to solve for x and the base of the logarithm is 10 but I can not figure it out. log[10+3x]=7log4

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Question 109463: I am supposed to solve for x and the base of the logarithm is 10 but I can not figure it out.
log[10+3x]=7log4

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log[10+3x]=7log4
log[10+3x] = log4^7
log[10+3x] = log16384
since the logs are equal the anti-logs are equal:
10+3x = 16384
3x = 16374
x = 5461 1/3
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cheers,
Stan H.