SOLUTION: Solve the following equations for x, correct to three to significant figures: 5x+2 = 101 a)log5^(x+2) = log101 b)Log4 (x + 3) - Log4 x = 3 c)If log2 y = 1

Algebra ->  Finance -> SOLUTION: Solve the following equations for x, correct to three to significant figures: 5x+2 = 101 a)log5^(x+2) = log101 b)Log4 (x + 3) - Log4 x = 3 c)If log2 y = 1      Log On


   

Question 941456: Solve the following equations for x, correct to three to significant figures:
5x+2 = 101
a)log5^(x+2) = log101

b)Log4 (x + 3) - Log4 x = 3
c)If log2 y = 15, find the value of log2 8y
d)Solve the equation: 52x – 6(5x) = 0

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5x+2 = 101
a)log5^(x+2) = log101
log(5^(x+2)) = log(101)
(x+2)*log(5) = log(101)
x+2 = log(101)/log(5)
x = log(101)/log(5) - 2
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b)Log4 (x + 3) - Log4 x = 3
log%284%2C%28x%2B3%29%2Fx%29+=+log%284%2C4%5E3%29
(x+3)/x = 64
etc.
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c)If log2 y = 15, find the value of log2 8y
= log%282%2Cy%29+%2B+log%282%2C8%29
= 18
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d)Solve the equation: 52x – 6(5x) = 0
x = 0