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

- anonymous

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

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- jhonyy9

so first we need to know what is the base of log(4x+14)

- 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

4x+14 is the base

Looking for something else?

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

## More answers

- anonymous

scrap my answer then

- jhonyy9

but than the base how can being on exponent ?

- 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

Busterkitten i think you need rewrite please your exersice correct

- 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

log(4x+14) 841=2

- jhonyy9

- so than you know the logarithm property how we can changeing the base of one logarithm ?

- anonymous

|dw:1327236337332:dw|

- jhonyy9

what is this ?

- anonymous

That's what we have used to cancel the log on one side.

- jhonyy9

- no
- so for example 2 we can rewrite like 2log (base 2) 2 because log(base2)2 =1

- anonymous

Watch this you will understand this logarithmic property. http://patrickjmt.com/properties-of-logarithms-part-2/

- 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

hope so much that is understandably sure

- anonymous

If the base is not given it is always 10.

- jhonyy9

jimmyrep please you make this understandably for ...
thank you

- jhonyy9

nikhil389 - no this not is sure that log sign always log base 10
- so please you check on wikipedia

- jhonyy9

so for example how i have learned that lg sign the logarithm on base 10

- jhonyy9

log without base sign logarithm on base 2 and ln sign logarithm on base natural

- anonymous

I think i m really confused what the question actually is, plz rephrase it what is the base ?

- jhonyy9

- so i think that this can rewrite it sure only Busterkitten

- anonymous

I'm so sorry for the confusion it's log base 4x=14 of 841 = 2

- anonymous

4x+14 i mean

- jhonyy9

so than you need rewrite the first term of logarithm with base changed

- jhonyy9

on 841

- jhonyy9

hope that you will can make it sure

- jhonyy9

if you know the property of logarithm

- anonymous

so is it 4x+14^2=841

- jhonyy9

sorry i think this is confused now
why you think that like ?

- 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

so than (4x+14) squared = 841
is it ok ?

- jhonyy9

can you solve this ?

- anonymous

is it 1.8125?

- jhonyy9

can you show your calcules please ?

- 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

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

hey where did the exponent go?

- 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.