Question 1047193
{{{ 5^( x+3 ) = 1 + 100*5^x }}}
{{{ 5^x*5^3  = 1 + 10^2*5^x }}}
{{{ 5^x*5^3 - 10^2*5^x = 1 }}}
{{{ 5^x*( 5^3 - 10^2 ) = 1 }}}
{{{ 5^x*( 125 - 100 ) = 1 }}}
{{{ 5^x = 1/25 }}}
{{{ 5^x = 5^(-2) }}}
{{{ x = -2 }}}
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check:
{{{ 5^( x+3 ) = 1 + 100*5^x }}}
{{{ 5^( -2+3 ) = 1 + 100*5^(-2) }}}
{{{ 5^1 = 1 + 100/5^2 }}}
{{{ 5 = 1 + 100/25 }}}
{{{ 5 = 1 + 4 }}}
{{{ 5 = 5 }}}
OK