Question

log4(1+x)=log5 4 как решить? Помогите

Answer 1

log4(1+x) = log5(4)

$\frac{log(1+x)}{log(4)}=\frac{log(4)}{log(5)}$

$log(1+x)=\frac{log^{2}(4) }{log(5)}$

$x+1=e^{log^{2}(4)/log(5) }$

$x=e^{log^2(4)/log(5)}-1$