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Solve the logarithmic equation $\ln\left(y\right)=x$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=e^x$
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Step-by-step Solution

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  • Choose an option
  • Solve for y
  • Solve for x
  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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1

Take the variable outside of the logarithm

$e^{\ln\left(y\right)}=e^x$

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(y)=x. Take the variable outside of the logarithm. Simplifying the logarithm.

Final answer to the problem

$y=e^x$

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Function Plot

Plotting: $\ln\left(y\right)-x$

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1
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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Similar Problems Solved

$\log\left(x\right)=3$

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$\log_3\left(x+4\right)+\log_3\left(x-4\right)=2$

$\log\left(4X^2\right)=128$

$\log_x\left(64\right)=3$

$\log_2\left(x-2\right)+\log_2\left(x+1\right)=2$

$2\cdot log\left(x\right)-1\cdot log\left(x+6\right)=0$

Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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