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Unformatted text preview: n to set the two exponents equal to each other and solve for x. 3x = 7 x - 2
2 = 4x
2 So, if we were to plug x = 1
into the equation then we would get the same number on both sides
2 of the equal sign.
[Return to Problems]
2 (b) 4t = 46-t
Again, there really isn’t much to do here other than set the exponents equal since the base is the
same in both exponentials. © 2007 Paul Dawkins 295 http://tutorial.math.lamar.edu/terms.aspx College Algebra t2 = 6 - t
t2 + t - 6 = 0 ( t + 3)( t - 2 ) = 0 Þ t = -3, t = 2 In this case we get two solutions to the equation. That is perfectly acceptable so don’t worry
about it when it happens.
[Return to Problems] (c) 3z = 9 z +5
Now, in this case we don’t have the same base so we can’t just set exponents equal. However,
with a little manipulation of the right side we can get the same base on both exponents. To do
this all we need to notice is that 9 = 32 . Here’s what we get when we use this fact. 3z = ( 32 ) z +5 Now, we still can’t just set exponents equal since the right side now has two exponents. If w...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12