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Popular >

2e^x=5sqrt(e^x)+12

Solution

2 e^{x} = 5 e^{x} + 12

Solution

x = 4 ln (2)

+1

Decimal Notation

x = 2.77258 \dots

Solution steps

2 e^{x} = 5 e^{x} + 12

Rewrite the equation with

e^{x} = u

2 u = 5 u + 12

Solve

2 u = 5 u + 12 : u = 16

u = 16

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 16 : x = 4 ln (2)

x = 4 ln (2)

Popular Examples

solvefor t,5^t=7 solve for

t, 5^{t} = 7

125^{3x-4}=25^{4x+2}

12 5^{3 x - 4} = 2 5^{4 x + 2}

- 1 = e^{x}

5 \cdot 2^{4 x} = 15

2^{x+1}=(100)/(0.125)

2^{x + 1} = \frac{100}{0.125}

Frequently Asked Questions (FAQ)

What is the answer to 2e^x=5sqrt(e^x)+12 ?
The answer to 2e^x=5sqrt(e^x)+12 is x=4ln(2)