exam Maths Puzzle Numerical Ability

I need to solve the following equation without using logarithms...

{{{ 2^x^2+^5^x = 1/16 }}}

Also I can't figure out how to use the round trip theorum to show that g is the i

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exam Other Question
The Dalton Art Fund must raise $2500 next year by investing $30,000 in federal notes paying 9% and in muncipal bonds paying 8%. The tresauer ants to invest as much as possible in t 4
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3n
+

2
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n+1
+

2
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n^2+n