SOLUTION: is this true or false: 3log(b)√3:(a)=log[b](a) assume that x,y,z are positive numbers. use the properties of logarithms to write each expression as the logarithm of one qu

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: is this true or false: 3log(b)√3:(a)=log[b](a) assume that x,y,z are positive numbers. use the properties of logarithms to write each expression as the logarithm of one qu      Log On


   

Question 328569: is this true or false: 3log(b)√3:(a)=log[b](a)
assume that x,y,z are positive numbers. use the properties of logarithms to write each expression as the logarithm of one quantity: log%28b%2C%28x%29%29%2Blog%28b%2C%28x%2B2%29%29-log%28b%2C%288%29%29
solve each equation. if answer not exact, give in four decimal places:
3%5E%28x%2B3%29=3%5Ex=84 hint:3%5E%28x%2B3%29=3%5E%28x%29%283%29%5E3

write in terms of the logarithm x,y,and z: log%28b%2C%283xy%29%29
write in terms of the logarithm x,y,and z:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Two of your problems contain errors in typing so that we cannot help you
with them unless you repost and type them correctly. I will do the ones
which make sense.

is this true or false:
3log%28b%2C%28sqrt%283%29%29%29%22%3A%22%28a%29=log%28b%2C%28a%29%29

That one doesn't make any sense.  Why did you put a colon between the
expression on the left and the equation on the right?  

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assume that x,y,z are positive numbers. use the properties of logarithms to write each expression as the logarithm of one quantity:
log%28b%2C%28x%29%29%2Blog%28b%2C%28x%2B2%29%29-log%28b%2C%288%29%29

Use the logarithm identity log%28P%2C%28Q%29%29%2Blog%28P%2C%28R%29%29=log%28P%2C%28QR%29%29 

on the two highlighted terms below:

highlight%28log%28b%2C%28x%29%29%2Blog%28b%2C%28x%2B2%29%29%29-log%28b%2C%288%29%29

highlight%28log%28b%2C%28x%28x%2B2%29%29%29%29-log%28b%2C%288%29%29

log%28b%2C%28x%28x%2B2%29%29%29-log%28b%2C%288%29%29

Use the logarithm identity log%28P%2C%28Q%29%29-log%28P%2C%28R%29%29=log%28P%2C%28Q%2FR%29%29 on that:

log%28b%2C%28x%28x%2B2%29%2F8%29%29

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solve each equation. if answer not exact, give in four decimal places:
3%5E%28x%2B3%29=3%5Ex=84 hint:3%5E%28x%2B3%29=3%5E%28x%29%283%29%5E3


That first equation has two equal signs.  One of them should have been either
a + or a - but I can't tell which one should have been which one.

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write in terms of the logarithm x,y,and z:
log%28b%2C%283xy%29%29

Use the logarithm identity log%28P%2C%28QRS%29%29=log%28P%2C%28Q%29%29%2Blog%28P%2C%28R%29%29%2Blog%28P%2C%28S%29%29 

log%28b%2C%283xy%29%29=log%28b%2C%283%29%29%2Blog%28b%2C%28x%29%29%2Blog%28b%2C%28y%29%29

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write in terms of the logarithm x,y,and z: 



Use the logarithm identity log%28P%2C%28QR%29%29=log%28P%2C%28Q%29%29%2Blog%28P%2C%28R%29%29 



Use the logarithm identity log%28P%2C%28Q%5ER%29%29=R%2Alog%28P%2C%28Q%29%29 on both terms:

1%2F2log%28b%2C%28x%29%29%2B3log%28b%2Cy%29

Edwin