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anonymous
 4 years ago
how would I solve
log(4x+14)^841=2
anonymous
 4 years ago
how would I solve log(4x+14)^841=2

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so first we need to know what is the base of log(4x+14)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0841 log ( 4x + 14 ) = 2 log ( 4x + 14) = 2/841 4x + 14 = e^(2/841) 4x = e^(2/841)  14 x = [ e^(2/841)  14]/4

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but than the base how can being on exponent ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0841 log ( 4x + 14 ) = 2 log ( 4x + 14) = 2/841 4x + 14 = 10^(2/841) (correction) 4x = 10^(2/841)  14 (correction) x = [ 10^(2/841)  14]/4 (correction)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Busterkitten i think you need rewrite please your exersice correct

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0To cancel log we need to raise to the power of 10 and not e, if it was ln then we would have used e.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0 so than you know the logarithm property how we can changeing the base of one logarithm ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327236337332:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0That's what we have used to cancel the log on one side.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0 no  so for example 2 we can rewrite like 2log (base 2) 2 because log(base2)2 =1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Watch this you will understand this logarithmic property. http://patrickjmt.com/propertiesoflogarithmspart2/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Busterkitten  so for this we need to know sure the base of first logarithm for we can rewrite the 2 in the form of this logarithm

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hope so much that is understandably sure

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If the base is not given it is always 10.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0jimmyrep please you make this understandably for ... thank you

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0nikhil389  no this not is sure that log sign always log base 10  so please you check on wikipedia

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so for example how i have learned that lg sign the logarithm on base 10

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0log without base sign logarithm on base 2 and ln sign logarithm on base natural

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I think i m really confused what the question actually is, plz rephrase it what is the base ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0 so i think that this can rewrite it sure only Busterkitten

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'm so sorry for the confusion it's log base 4x=14 of 841 = 2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so than you need rewrite the first term of logarithm with base changed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hope that you will can make it sure

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0if you know the property of logarithm

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry i think this is confused now why you think that like ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so this is sure that 2 can being rewrit in the form of logarithm like logarithm on base of (4x+14) from (4x+14) squared

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so than (4x+14) squared = 841 is it ok ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can you show your calcules please ?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0"log" has been highly confused lately; when I was growing up it meant base10, but apparently these days it can be used to express the natural log as well. Without knowing the base (10 or e) we cant really obtain a "correct" answer.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0this isn't hard you just have to convert to exponential form to get rid of the log log(b) x = y <> x = b^y (4x+14)^2 = 841 4x +14 = 29 4x = 15 x = 15/4 = 3.75

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hey where did the exponent go?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0tanu, i took sqrt of both sides sqrt(x^2) = x
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