SOLUTION: Solve to the nearest thousand a) 2^x=11 b) 3^x=11 c) 5^(x-1)=9 d) 5^(1+x) = 2^(1-x) Can you please help me out? thanks so much in advance:)

Question 742181: Solve to the nearest thousand
a) 2^x=11
b) 3^x=11
c) 5^(x-1)=9
d) 5^(1+x) = 2^(1-x)
Can you please help me out? thanks so much in advance:)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve to the nearest thousand
a) 2^x=~ 11
-------------------
x*log(2) = log(11)
x = log(11)/log(2)
x =~ 3.45943
To the nearest 1000, x = 0
------------
b) 3^x=11
Do it like the 1st one.
---------------------
c) 5^(x-1)=9
(x-1)*log(5) = log(9)
------------------
d) 5^(1+x) = 2^(1-x)
Same as above.

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