Question

logarithmic: solve for b.

Answer 1

logb√5 =1/4

Answer 2

\[\log_{x} a=y~gives~x ^{y}=a\]
\[b ^{\frac{ 1 }{4 }}=\sqrt{5}=5^{\frac{ 1 }{2 }}\]
\[\left( b ^{\frac{ 1 }{4 }} \right)^{4}=\left( 5^{\frac{ 1 }{ 2 }} \right)^{4}\]
\[b ^{\frac{ 1 }{4 }\times4}=5^{\frac{ 1 }{ 2 }\times4}\]
\[b=5^{2}=25\]