anonymous
  • anonymous
how would I solve log(4x+14)^841=2
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jhonyy9
  • jhonyy9
so first we need to know what is the base of log(4x+14)
anonymous
  • anonymous
841 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
  • anonymous
4x+14 is the base

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
scrap my answer then
jhonyy9
  • jhonyy9
but than the base how can being on exponent ?
anonymous
  • anonymous
841 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)
jhonyy9
  • jhonyy9
Busterkitten i think you need rewrite please your exersice correct
anonymous
  • anonymous
To 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
  • anonymous
log(4x+14) 841=2
jhonyy9
  • jhonyy9
- so than you know the logarithm property how we can changeing the base of one logarithm ?
anonymous
  • anonymous
|dw:1327236337332:dw|
jhonyy9
  • jhonyy9
what is this ?
anonymous
  • anonymous
That's what we have used to cancel the log on one side.
jhonyy9
  • jhonyy9
- no - so for example 2 we can rewrite like 2log (base 2) 2 because log(base2)2 =1
anonymous
  • anonymous
Watch this you will understand this logarithmic property. http://patrickjmt.com/properties-of-logarithms-part-2/
jhonyy9
  • jhonyy9
Busterkitten - 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
jhonyy9
  • jhonyy9
hope so much that is understandably sure
anonymous
  • anonymous
If the base is not given it is always 10.
jhonyy9
  • jhonyy9
jimmyrep please you make this understandably for ... thank you
jhonyy9
  • jhonyy9
nikhil389 - no this not is sure that log sign always log base 10 - so please you check on wikipedia
jhonyy9
  • jhonyy9
so for example how i have learned that lg sign the logarithm on base 10
jhonyy9
  • jhonyy9
log without base sign logarithm on base 2 and ln sign logarithm on base natural
anonymous
  • anonymous
I think i m really confused what the question actually is, plz rephrase it what is the base ?
jhonyy9
  • jhonyy9
- so i think that this can rewrite it sure only Busterkitten
anonymous
  • anonymous
I'm so sorry for the confusion it's log base 4x=14 of 841 = 2
anonymous
  • anonymous
4x+14 i mean
jhonyy9
  • jhonyy9
so than you need rewrite the first term of logarithm with base changed
jhonyy9
  • jhonyy9
on 841
jhonyy9
  • jhonyy9
hope that you will can make it sure
jhonyy9
  • jhonyy9
if you know the property of logarithm
anonymous
  • anonymous
so is it 4x+14^2=841
jhonyy9
  • jhonyy9
sorry i think this is confused now why you think that like ?
jhonyy9
  • jhonyy9
so this is sure that 2 can being rewrit in the form of logarithm like logarithm on base of (4x+14) from (4x+14) squared
jhonyy9
  • jhonyy9
so than (4x+14) squared = 841 is it ok ?
jhonyy9
  • jhonyy9
can you solve this ?
anonymous
  • anonymous
is it 1.8125?
jhonyy9
  • jhonyy9
can you show your calcules please ?
amistre64
  • amistre64
"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.
dumbcow
  • dumbcow
this 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
  • anonymous
hey where did the exponent go?
dumbcow
  • dumbcow
tanu, i took sqrt of both sides sqrt(x^2) = x

Looking for something else?

Not the answer you are looking for? Search for more explanations.