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Solve the exponential equation $e^x=10$

Step-by-step Solution

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Solution

Final answer to the problem

$x=\ln\left(10\right)$
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Step-by-step Solution

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  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
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  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

We can take out the unknown from the exponent by applying natural logarithm to both sides of the equation

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$\ln\left(e^x\right)=\ln\left(10\right)$

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Learn how to solve problems step by step online. Solve the exponential equation e^x=10. We can take out the unknown from the exponent by applying natural logarithm to both sides of the equation. Apply the formula: \ln\left(e^x\right)=x.

Final answer to the problem

$x=\ln\left(10\right)$

Exact Numeric Answer

$x=2.3025851$

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Function Plot

Plotting: $e^x-10$

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1
2
3
4
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:

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