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Q: Could you Condense the expression 5log4 2 plus 7 log4 x plus 4 log 4 y?

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log4+log3=log(4x3)=log12

log3 81 × log2 8 × log4 2 = log3 (33) × log2 (23) × log4 (40.5) = 3 × (log3 3) × 3 × (log2 2) × 0.5 × (log4 4) = 3 × 1 × 3 × 1 × 0.5 × 1 = 9 × 0.5 = 4.5

It is 2.1240

The rule for converting log bases is: log4(7) = log2(7)/log2(4) Now 4 = 2 squared so log2(4) = 2 So log4(7) = log4(7)/2 = (1/2)*log2(7) By the way, the "new and improved" browser now does not accept subscripts or superscripts so I hope you understand this.

the value of log (log4(log4x)))=1 then x=

Log4 64=y 64=4y 26=22y Therefore y=3

k=log4 91.8 4^k=91.8 -- b/c of log rules-- log 4^k=log 91.8 -- b/c of log rules-- k*log 4=log91.8 --> divide by log 4 k=log 91.8/log 4 k= 3.260

log4(x) +16 +log4(x) +4=32log4(x)=-17log4(x)=-17/2x=4^(-17/2)=========================Since the parentheses have been lost from the question,it could easily be interpreted this way instead, (as well asa few others):x log(4x) + 16 + log(4x) + 4 = 3(x + 1) log(4x) = -174x = 10-17/(x+1)4x = the (x+1)th root of 10-17Come on back and solve that one for us.

Since you did not provide a base for your logarithm there is no particular solution. In most cases it is best to assume it is to the base 10. So the answer would be: log(2*2)=log4 (to the base 10) log4=0.60205.... It is good practice to list the base to which the logarithm is at - normally written as a subscript in the lower right hand corner of the 'log'. The only exception is when the logarithm is to the base e, in which case we write it as ln(x) - where x is a real number. For more information check http://en.wikipedia.org/wiki/Logarithm

Pretty much, yeah. It's just another way of expressing exponents. Say you know the following: (we'll start off easily) 16 = 42 You could also write that as: log4 16 = 2 Algebraically, a = bc so, logb a = c (b is known as the base, so it is read: log base b of a equals c) Also, logb a = (log a) / (log b)

2log4(7x) - 5 = 0 2log4(7x) = 5 log4(7x) = 5/2 7x = 45/2 =(41/2)5 = 25 = 32 x = 32/7

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