Question

hallar x
${3}^{x - 4} = {5}^{x - 4}$
ayuda pls​

Answer 1

Explicación paso a paso:

${3}^{x - 4} = {5}^{x - 4}$

$log( {3}^{x - 4} ) = log( {5}^{x - 4} )$

$(x - 4) \times log(3) = (x - 4) \times log(5)$

$x .log(3) - 4. log(3) = x .log(5) - 4. log(5)$

$x. log(3) - x. log(5) = - 4 log(5) + 4. log(3)$

$x.( log(3) - log(5) ) = - 4 log(5) + 4 log(3)$

$\frac{ - 4 log(5 ) + 4 log(3) }{ log(3) - log(5) } = x$

El valor de x=0

espero que te sirva....