SOLUTION: 1/5logb(5^1/2)+2logb(5^4)=-79/30 what is the value of b

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Question 359568: 1/5logb(5^1/2)+2logb(5^4)=-79/30 what is the value of b
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F5%29%2Alog%28b%2C%285%5E%281%2F2%29%29%29%2B2%2Alog%28b%2C%285%5E4%29%29=-79%2F30 what is the value of b
=log%28b%2C5%5E%281%2F10%29%29%2Blog%28b%2C5%5E8%29=-79%2F30
=log%28b%2C5%5E%281%2F10%29%2A5%5E8%29=-79%2F30
=log%28b%2C5%5E%2881%2F10%29%29=-79%2F30
=%2881%2F10%29%2Alog%28b%2C5%29=-79%2F30
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log%28b%2C5%29=%28-79%2F30%29%2A%2810%2F81%29=-79%2F243
b%5E%28log%28b%2C5%29%29=b%5E%28-79%2F243%29
=5=b%5E%28-79%2F243%29
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5%5E%28-243%2F79%29=b
answer highlight%28b=-0.00708%29