Question

calcule log 4 raiz quadrada 32

Answer 1

log₄ √32 = log₄  4√2 = log 4√2 / log 4

=[log 2² +log 2^(1/2)] / log 2²

=[2log 2 +(1/2)*log 2] /2 log 2

=(2+1/2)/2  =(5/2)/2 =5/4

Answer 2

- Vamos usar a definição e resolver.


$Log_4 \sqrt{32} =x\\\\ \sqrt{32} = 4^x\\\\ (2^5)^{1/2}=(2^2)^x\\\\ 2^{5/2}=2^{2x}\\\\ 5/2=2x\\ x = 5/4$