Question

Considere as iguldades:
a) log5 x = 2
b) log y 81 = 4
c) log2 64= z

Determine o valor de x + y + z.

Answer 1

$\log_{5} x=2\Rightarrow\ 5^{2}=x\Rightarrow\ x=25\\ \\ \log_y 81=4\Rightarrow\ y^{4}=81\Rightarrow\ y^{4}=3^{4}\Rightarrow\ y=3\\ \\ \log_2 64=z\Rightarrow\ 2^{z}=64\Rightarrow\ 2^{z}=2^{6}\Rightarrow\ z=6\\ \\ \\ x+y+z=25+3+6=34$