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Logarithmic and Exponential Equations

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1) Given A=Pe^rt, with A = 455, P = 5, and r = 0.61, solve for t. Round to the nearest 0.01.
t=__________

2) Solve for r: 8(3^r+1)+4=20
Round to the nearest 0.001.
r=__________

3) Solve for x: 2^5x-4=3^7x+4
Round to the nearest 0.001.
x=________

4) Solve for x: log_7(4x-16)=3
Give an exact answer.
____________

5) Solve for w:log_2(w)+log_2(w+7)=3

The only solution is:
w=__________

6) Solve for y: log_3(2y-3)-log_3(y-4)=1
y=__________.

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This posting contains the solution to the given algebra problems.

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