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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
3_-1 x+2 --- 1+_2 x+2
Alex lives .4 miles from the park, beth lives .8 miles from the park. To run equal distances Alex runs 8 times around the park and Beth run 6 times around the part. Write an equati
5x-3y-11=0 and 3x+10y+17=0 Solve for all variables in each system of equations
5-i/ 3+4i
12 + 5x = 6 - x
#quewhat is the origal value if a shirt cost $15 before the sale and cost $12 in the sale.
How did they get an answer of 4.24899(-6) the question isc=4d(-1)/3.b. I now i substitute 23,245 for d and 13.5 for b, but don''t understand how they got this answer?
Find the zeros of the function by using the quadratic formula. Simplify your answer as much as possible. g(x)= 2x^2+4x-12
how do i simplify 1-1/10x divided by 3+7/5x
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