loge((a*exp(b*x))+(c*exp(d*y)))=s

Simple and best practice solution for loge((a*exp(b*x))+(c*exp(d*y)))=s equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for loge((a*exp(b*x))+(c*exp(d*y)))=s equation:


Simplifying
loge((a * exp(b * x)) + (c * exp(d * y))) = s

Multiply b * x
eglo((a * epx(bx)) + (c * exp(d * y))) = s

Multiply a * epx
eglo((aepx * bx) + (c * exp(d * y))) = s

Multiply aepx * bx
eglo((abepx2) + (c * exp(d * y))) = s
eglo(abepx2 + (c * exp(d * y))) = s

Multiply d * y
eglo(abepx2 + (c * epx(dy))) = s

Multiply c * epx
eglo(abepx2 + (cepx * dy)) = s

Multiply cepx * dy
eglo(abepx2 + (cdepxy)) = s
eglo(abepx2 + cdepxy) = s
(abepx2 * eglo + cdepxy * eglo) = s
(abe2glopx2 + cde2glopxy) = s

Solving
abe2glopx2 + cde2glopxy = s

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1cde2glopxy' to each side of the equation.
abe2glopx2 + cde2glopxy + -1cde2glopxy = -1cde2glopxy + s

Combine like terms: cde2glopxy + -1cde2glopxy = 0
abe2glopx2 + 0 = -1cde2glopxy + s
abe2glopx2 = -1cde2glopxy + s

Divide each side by 'be2glopx2'.
a = -1b-1cdx-1y + b-1e-2g-1l-1o-1p-1sx-2

Simplifying
a = -1b-1cdx-1y + b-1e-2g-1l-1o-1p-1sx-2

See similar equations:

| 3m+7=19 | | 8x^8y^6+32x^6y^5+56xy= | | (x+2y-4)dx-(2x+y-5)dy=0 | | 3(x-2)+x=3x-3 | | 3(x-2)+x=2x-6 | | 3(x-2)+x=4x-6 | | 4v+v+(v-17)=163 | | 5-x=3x-35 | | 8x^2-5x-60=0 | | log[2](3x+7)=5 | | 2x=3x+24 | | F(x)=45x | | x^2+-15x+50=0 | | 4(x+2)-3(2x-5)=x+2 | | 44-4x=14-7x | | x^2-114= | | 3(5y+6)-y=15 | | ln(x+10)-ln(x-6)=1 | | ln(x+10)-ln(x-6)=l | | 70=3x-2 | | 19-2(x+3)=2(x+3)+x | | 1.36=ln(2)x | | 2x-9=6x+6 | | -16+3x=-24+6x | | 18w+29=7w-92 | | 11x-4=3x+10 | | 71=2x-3 | | 71=3x-2 | | -4+4x=8+14x | | 10+3x=28 | | -4x-9x=78 | | 8x-180=2x-6 |

Equations solver categories