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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
the problem is 6x+3y=-24. is tells me to graph using y=mx+b format but i don''t know how to get to that point.
how do you simplify 18 over 24
Donna is 4 years older then Chloe, Three years ago Donna''s age was three times Chloe''s age. Find the age of each girl
32+3e=
Suppose you are provided with a geometric sequence. How can you find the sum of n terms of the sequence without having to add all of the terms?
7x+2(3x-1)
Example Solve each of the following systems of equations. 5x + 4 y = 1 3x - 6 y = 2 Solution It is the system in the previous examples wh
Sketch the graph of f ( x ) = ( x -1) 3 + 1 . Solution Now, as we talked regarding while we first looked at graphing earlier in
6[5b+9]=2b+9.
4=x+5 3x+4=-11
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