Cambio en la base del logaritmo: Uso de múltiples reglas

$\frac{\log_45+\log_42}{3\log_42}=$

$\log_810$

$\frac{2\log_78}{\log_74}+\frac{1}{\log_43}\times\log_29=$

$7$

$\frac{\log_311}{\log_34}+\frac{1}{\ln3}\cdot2\log3=$

$\log_411+\log e^2$

$\frac{\log_76-\log_71.5}{3\log_72}\cdot\frac{1}{\log_{\sqrt{8}}2}=$

$1$

$-3(\frac{\ln4}{\ln5}-\log_57+\frac{1}{\log_65})=$

$3\log_5\frac{7}{24}$

$\frac{\log_8x^3}{\log_8x^{1.5}}+\frac{1}{\log_{49}x}\times\log_7x^5=$

$12$

$\log_x16\times\frac{\ln7-\ln x}{\ln4}-\log_x49=$

$-2$

$\frac{\log_47\times\log_{\frac{1}{49}}a}{c\log_4b}=$

$\log_{b^c}\frac{1}{\sqrt{a}}$

$\frac{\log_x4+\log_x30.25}{x\log_x11}+x=3$

$x=\text{?}$

$2$

$\frac{1}{\log_{2x}6}\times\log_236=\frac{\log_5(x+5)}{\log_52}$

$x=\text{?}$

$1.25$