Question 359568
{{{(1/5)*log(b,(5^(1/2)))+2*log(b,(5^4))=-79/30}}} what is the value of b
={{{log(b,5^(1/10))+log(b,5^8)=-79/30}}}
={{{log(b,5^(1/10)*5^8)=-79/30}}}
={{{log(b,5^(81/10))=-79/30}}}
={{{(81/10)*log(b,5)=-79/30}}}
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{{{log(b,5)=(-79/30)*(10/81)=-79/243}}}
{{{b^(log(b,5))=b^(-79/243)}}}
={{{5=b^(-79/243)}}}
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{{{5^(-243/79)=b}}}

answer  {{{highlight(b=-0.00708)}}}