SOLUTION: please help me solve this problem using logarithms: {{{ 5(2^X) = 3

SOLUTION: please help me solve this problem using logarithms: {{{ 5(2^X) = 3 - 2^(x+2) }}}

Question 434121: please help me solve this problem using logarithms:
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
To solve the equation:, we substitute and
. Rewrite the equation: 5y=3-4y, solve this equation,
5y+4y=3 => 9y=3 => y=1/3. Now we find the x, since 2^x=y, substitute:
, taking natural logarithms of each side we have:
=> .
Done.

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