Question

calcular log$log_{2} 3x+1=4$

Answer 1

Definição de logaritmos:

$\boxed{log_{b}(a)=c~~\rightleftharpoons~~b^{c}=a}$
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$log_{2}(3x+1)=4\\2^{4}=3x+1\\3x+1=2^{4}\\3x+1=16\\3x=16-1\\3x=15\\x=15/3\\\\\boxed{\boxed{x=5}}$