SOLUTION: Solve the equation: 75log(base7)x =61 Your help is greatly appreciated. Thank You

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Question 29312: Solve the equation:
75log(base7)x =61
Your help is greatly appreciated.
Thank You

Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
75log%287%2Cx%29=61 Divide both sides by 75:
log%287%2Cx%29=61%2F75 Because log%28b%2Ca%29=c means b%5Ec=a we can rewrite as an exponent:
7%5E%2861%2F75%29=x or you could write as:
root%2875%2C+7%5E61%29=xEvaluate:
4.8679533296028825663124443457667=x