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Ecuaciones Exponenciales y Logarítmicas-Soluciones


35^{1-2x}=7

 

\log 35^{1-2x}=\log 7

 

\left ( 1-2x \right )\log 35=\log 7

 

1-2x=\frac{\log 7}{\log 35}

 

-2x=\frac{\log 7}{\log 35}-1

 

x=-\frac{1}{2}\left (\frac{\log 7}{\log 35}-1 \right )

 

 

 

\log_{10}\left ( x-15 \right )=2-\log_{10}x

 

\log_{10}\left ( x-15 \right )+\log_{10}x=2

 

\log_{10}\left [ x\left ( x-15 \right ) \right ]=2

 

x\left ( x-15 \right )=10^{2}

 

x^{2}-15x-100=0

 

\left ( x+5 \right )\left ( x-20 \right )=0

 

x=20