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Popular >

6/(e^x)-5=e^x

Solution

\frac{6}{e ^{x}} - 5 = e^{x}

Solution

x = 0

Solution steps

\frac{6}{e ^{x}} - 5 = e^{x}

Apply exponent rules

6 (e^{x})^{- 1} - 5 = e^{x}

Rewrite the equation with

e^{x} = u

6 (u)^{- 1} - 5 = u

Solve

6 u^{- 1} - 5 = u : u = 1, u = - 6

u = 1, u = - 6

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 : x = 0

Solve

e^{x} = - 6 :

No Solution for

x \in R

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

Popular Examples

4*3^{7x}=9*2^{7x}

4 \cdot 3^{7 x} = 9 \cdot 2^{7 x}

3^{3μ}= 1/27 sqrt(3)

3^{3 μ} = \frac{1}{27} 3

solvefor t,x^tx^3=x^6 solve for

t, x^{t} x^{3} = x^{6}

81^{8x}=3^{32^7}

8 1^{8 x} = 3^{3 2^{7}}

(6 x)^{x} = 6^{6^{6}}

Frequently Asked Questions (FAQ)

What is the answer to 6/(e^x)-5=e^x ?
The answer to 6/(e^x)-5=e^x is x=0