Question 204564
{{{ -7/5^x+7/2=3/5^x+9/10 }}}
Begin by multiplying both sides by 5^x
{{{ -7+(7/2)5^x=3+(9/10)5^x }}}
Next, multiply both sides by 10:
{{{ -70+(35)5^x=30+(27)5^x }}}
{{{ -70+(8)5^x=30 }}}
{{{ (8)5^x=100 }}}
{{{ 5^x=100/8 }}}
Take log base 5 of both sides:
{{{ x=log(5,100/8) }}}
{{{ x=log(5,12.5) }}}
{{{ x=log(12.5)/log(5) }}}
{{{ x=1.569 }}}