Question 979803
Is this the equation:
{{{ 8^((-x)) / 50 = 2 }}}
If so,
Multiply both sides buy {{{ 50 }}}
{{{ 8^((-x)) = 100 }}}
I can multiply both sides by {{{ 8^x }}}
{{{ 8^((-x))*8^(x) = 100*8^x }}}
{{{ 8^((-x+x)) = 100*8^x }}}
{{{ 100*8^x = 1 }}}
{{{ 8^x = 10^(-2)  }}}
Take the log of both sides
{{{ log(( 8^x )) = -2 }}}
{{{ x*log((8)) = -2 }}}
{{{ x = -2/log(8) }}}
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check:
{{{ log((8)) = .90309 }}}
{{{ x = -2/.90309 }}}
{{{ x = -2.2146 }}}
{{{ 8^((-x)) / 50 = 2 }}}
{{{ 8^((-(-2.2146))) / 50 = 2 }}}
{{{ 8^2.2146 = 100 }}}
{{{ 99.9961 = 100 }}}
error due to rounding off