Question 870234
{{{ 2*log(50) = 3*log(25) + log((x-2)) }}}
{{{ log( 50^2 ) = log( 25^3 ) + log(( x-2 )) }}}
{{{ log( 50^2 ) = log( 25^3 * ( x-2 ) ) }}}
{{{ 50^2 = 25^3 * ( x-2 ) }}}
{{{ x - 2 = 50^2 / 25^3 }}}
{{{ x - 2 = ( 2*25 )^2 / 25^3 }}}
{{{ x - 2 = ( 2^2 * 25^2 ) / ( 25 * 25^2 ) }}}
{{{ x - 2 = 2^2 / 25 }}}
{{{ x = 4/25 + 2 }}}
{{{ x = 54/25 }}}
{{{ x = 2.16 }}}
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check with calculator:
{{{ 2*log(50) = 3*log(25) + log((x-2)) }}}
{{{ 2*1.69897 = 3*1.39794 + log(( x-2 )) }}}
{{{ log(( x-2 )) = 3.39794 - 4.19382 }}}
{{{ log(( x-2 )) = -.79588 }}}
{{{ 10^( -.79588 ) = x - 2 }}}
{{{ .1600000064 = x - 2 }}}
{{{ x = 2.1600000064 }}}
close enough