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Example Simplify following logarithms.
log4( x3 y5 )
Solution
Here the instructions may be a little misleading. While we say simplify we actually mean to say that we desire to use as many of the logarithm properties as we can.
Note that we can't utilize Property 7 to bring the 3 & the 5 down into the front of the logarithm at this point. To use Property 7 the entire term in the logarithm required to be raised to the power. In this case the two exponents are just on individual terms in the logarithm and thus Property 7 can't be used here.
However, we do have a product within the logarithm thus we can use Property 5 on this logarithm.
log4( x3 y5 )= log4 (x 3) + log4 (y5)
Now that we've done it we can utilizes Property 7 on each of these individual logarithms to obtain the final simplified answer.
log4( x3 y5 ) = 3 log4 x + 5 log4 y
Solve (3x+ 1/ x + 4 ) ≥ 1. Solution The first thing that we have to do here is subtract 1 from both of sides and then get everything in a single rational expression. (3
how do i solve this problem? 3Inx=In16+In4
1/4 x 5/8 =
Solve following equations. 1/(x+1) = 1- (5/2x - 4) Solution Just like along with the linear equations the primary thing which we're going to
Multiplication?
I don''t understand anything!
The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original number?
2a*2b
17b-29=39
(4y2)(2y)
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