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1. Prove the following exponential identity
3 (9x+2) = 32x+5
2. Prove the following exponential identity
16x-2y = 24x/44y
3. Prove the following logarithmic identity
log1/2log2 (21og2 4) = - 1
4. Prove the following logarithmic identity
log2 x/y + 4log2 4 √(y/x) = 0
5. Solve the exponential equation
8x+1 · 4x- 2 =16x
6. Solve the exponential equation for x and for y
3x+1 · 2y-2 = 36
7. Solve the logarithmic equation
log2 log2 4x-2 = 1
8. Solve the exponential inequality.
27(32x+1) > 3x+5 + 33
9. Solve logarithmic inequality. 3log x < 2log (1/x) + 1
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Randy invested his inheritance in an account that paid 6.1% interest, compounded continuously. After 5 years, he found that he now had $51,426.94. What was the original amount of his inheritance?
at the beginning of the summer molly decided to add a little money into her savings account every week. after seven
as a fundraiser a school is selling posters. the printer charges a 24 set up fee plus 0.20 for each poster. then the
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What is the difference between an arithmetic and an algebraic expression? Give an example of each.
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