Solve example using logarithms, Algebra

Example Simplify following logarithms.

log4( x3 y5 )


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

Posted Date: 4/8/2013 3:23:10 AM | Location : United States

Related Discussions:- Solve example using logarithms, Assignment Help, Ask Question on Solve example using logarithms, Get Answer, Expert's Help, Solve example using logarithms Discussions

Write discussion on Solve example using logarithms
Your posts are moderated
Related Questions
how to find the multiplication factor

i have a test tomorrow and its to see if i get into high 7th grade math. there was a question on the practice packet about interquartile range. what does it mean and how do i find

if a-b equals 73 what is a

what are the two types of ogive curves

Solve the equation  x 4 - 7 x 2 +12 = 0 Solution Now, let's start off here by noticing that                          x 4  = ( x 2 ) 2 In other terms, here we can

Given a polynomial P(x) along degree at least 1 & any number r there is another polynomial Q(x), called  as the quotient , with degree one less than degree of P(x) & a number R, c

how do you do scientific notation

Write this decimal as a percent. .35