SOLUTION: find x if logeX + loge3 = 1 the "e" in problem is the base. Thanks

Question 146826This question is from textbook intermediate algebra
: find x if logeX + loge3 = 1
the "e" in problem is the base.
Thanks This question is from textbook intermediate algebra

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
When two logs of common base are added together, it is equal to the log of their product.
Therefore,
+ =
Substituting this for the left side of the given equation results in:
= 1
Now convert this equation to exponential form using the relationship:
= y is equivalent to = M
When you apply this conversion to:
= 1
it becomes
3X =
or just
3X = e
Solve for X by dividing both sides by 3 to get:
X =
Hope this helps you to understand the problem. The solution just requires you to know two rules:
(1) The rule of addition of logarithms, and
(2) The rule for converting from logarithmic form to exponential form.

RELATED QUESTIONS
log2*=x... (answered by sdmmadam@yahoo.com)

log2*=x... (answered by sdmmadam@yahoo.com)

If (e^x + e^-x ) / (2) = 1 then find e^x Thanks so much in... (answered by ankor@dixie-net.com)

Find the exact value of e^LOGe^2 16 The answer is 4, but I am unsure as to why. If... (answered by addingup)

Can anyone help me solve this problem? 6^(1-x) = e I start with: in6^(1-x) = in... (answered by venugopalramana)

the e is the base LOGe (-.3675)... (answered by user_dude2008)

The natural logarithm function write in exponential form ln 1/e^2= -2 the example... (answered by lwsshak3)

Hello, I would appreciate it if one of the experts could take a look at the following two (answered by longjonsilver)

If {{{ g(x) = 3 + x + e^x }}}, find {{{ g^-1(4) }}} Me and my friend are working on... (answered by jim_thompson5910)