Question 350943
{{{log(4,x) - log(4,(x + 3)) = -2 }}}
Applying log rules:
{{{log(4,x/(x + 3)) = -2 }}}
{{{x/(x + 3) = 4^(-2) }}}
{{{x/(x + 3) = 1/4^2 }}}
{{{x/(x + 3) = 1/16 }}}
cross multiplying:
{{{16x = (x + 3) }}}
{{{15x = 3 }}}
{{{x = 1/5 }}}
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4e^(x+3) - 4 = 11
4e^(x+3) = 15
e^(x+3) = 15/4
x+3 = ln(15/4)
x = ln(15/4) - 3
x = -1.678