Question Number 169130 by pete last updated on 24/Apr/22
$$\mathrm{If}\:\left(\mathrm{0}.\mathrm{3}\right)^{\mathrm{x}} =\left(\mathrm{0}.\mathrm{5}\right)^{\mathrm{8}} ,\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$
Answered by MikeH last updated on 24/Apr/22
$${x}\:=\:\frac{\mathrm{8}\:\mathrm{log}\:\mathrm{0}.\mathrm{5}}{\mathrm{log}\:\mathrm{0}.\mathrm{3}}\:=\mathrm{4}.\mathrm{6057} \\ $$
Commented by pete last updated on 24/Apr/22
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir} \\ $$