en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x^y+e^x=a

Solution

solve for

y, x^{y} + e^{x} = a

Solution

y = \frac{ln ( a - e ^{x} )}{ln ( x )}

Solution steps

x^{y} + e^{x} = a

Move

e^{x}

to the right side

x^{y} = a - e^{x}

Apply exponent rules

y ln (x) = ln (a - e^{x})

Solve

y ln (x) = ln (a - e^{x}) : y = \frac{ln ( a - e ^{x} )}{ln ( x )}

y = \frac{ln ( a - e ^{x} )}{ln ( x )}

Popular Examples

3^{2x+2}+17*3^x=2

3^{2 x + 2} + 17 \cdot 3^{x} = 2

9^x-90*3^x+729=0

9^{x} - 90 \cdot 3^{x} + 729 = 0

5 e^{x} = 1

solvefor x,3^x=10 solve for

x, 3^{x} = 10

1 2^{x - 8} = 18

Frequently Asked Questions (FAQ)

What is the answer to solvefor y,x^y+e^x=a ?
The answer to solvefor y,x^y+e^x=a is y=(ln(a-e^x))/(ln(x))