Question

1 si 3 Cine ma ajuta &&&_&&&

Answer 1

   
[tex]\displaystyle\\ 1)\\ b_5=b_1\times q^{5-1}=b_1\times q^4=48\\\\ b_8=b_1\times q^{8-1}=b_1\times q^7=384\\\\ \text{Descompunem numerele 48 si 384 in factori primi:}\\\\ 48=3\times16=3\times2^4=b_1\times q^4\\\\ 384=3\times128=3\times2^7=b_1\times q^7\\\\ \Longrightarrow~\boxed{\bf b_1=3}~~\text{ si }~~\boxed{\bf q=2}\\\\ 3)\\ 32^x=16\cdot2^x\\\\ \frac{32^x}{2^x}=16\\\\ \frac{\Big(2^5\Big)^x}{2^x}=2^4\\\\ \frac{2^{5x}}{2^x}=2^4\\\\ 2^{5x-x} = 2^4\\\\ 2^{4x} = 2^4\\\\ 4x=4\\\\ x=\frac{4}{4}=\boxed{\bf1} [/tex]