Question

Розв'язати логарифм!!!​

Answer 1

$5^{log_67}+2^{log_35}-7^{log_65}-5^{log_32}=$

$5^{\frac{log_57}{log_56}}+2^{log_35}-7^{log_65}-5^{\frac{log_52}{log_53}}=$

$(5^{log_57})^{\frac{1}{log_56}}+2^{log_35}-7^{log_65}-(5^{log_52})^{\frac{1}{log_53}}=$

$7^{\frac{1}{log_56}}+2^{log_35}-7^{log_65}-2^{\frac{1}{log_53}}=$

$7^{log_65}+2^{log_35}-7^{log_65}-2^{log_35}=0$