log(5x+7)=1+log(x-3)

Simple and best practice solution for log(5x+7)=1+log(x-3) 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 log(5x+7)=1+log(x-3) equation:


Simplifying
log(5x + 7) = 1 + log(x + -3)

Reorder the terms:
glo(7 + 5x) = 1 + log(x + -3)
(7 * glo + 5x * glo) = 1 + log(x + -3)
(7glo + 5glox) = 1 + log(x + -3)

Reorder the terms:
7glo + 5glox = 1 + glo(-3 + x)
7glo + 5glox = 1 + (-3 * glo + x * glo)
7glo + 5glox = 1 + (-3glo + glox)

Solving
7glo + 5glox = 1 + -3glo + glox

Solving for variable 'g'.

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

Add '3glo' to each side of the equation.
7glo + 3glo + 5glox = 1 + -3glo + 3glo + glox

Combine like terms: 7glo + 3glo = 10glo
10glo + 5glox = 1 + -3glo + 3glo + glox

Combine like terms: -3glo + 3glo = 0
10glo + 5glox = 1 + 0 + glox
10glo + 5glox = 1 + glox

Add '-1glox' to each side of the equation.
10glo + 5glox + -1glox = 1 + glox + -1glox

Combine like terms: 5glox + -1glox = 4glox
10glo + 4glox = 1 + glox + -1glox

Combine like terms: glox + -1glox = 0
10glo + 4glox = 1 + 0
10glo + 4glox = 1

Reorder the terms:
-1 + 10glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10glo + 4glox = 0

The solution to this equation could not be determined.

See similar equations:

| (-7+1)+(4x-5)= | | 6.2x-2.8=3.4 | | ln(x)=0.39 | | X-X/4=18 | | 0=-3x^2-2x+7 | | 7+6(x-9)=4-9(x-2) | | 0.9c=-4.5 | | 28x^2=-13x+5 | | -3-4=-7 | | (x2-13x-36)/(36-x2) | | (4x+11)+2(4x+11)=195 | | 5-5(3-3x)=0 | | 63x/16 | | 4/9-4 | | ln(9/x) | | (Y+2)(y-2)=0 | | 3-8(6x+7)=4 | | log(27)(6x)=2/3 | | 5/M=10 | | 10u=5u+35 | | 45-v=8v | | -6x+12=12 | | 2z-9z=-9+5+7z | | 1/3=33/9 | | .5a=.5a-2 | | 75x-29-53x=139 | | 3(4x+1)=3x-6x | | -5n-2=-n-26 | | 7-6=x+3 | | 2x=.5x-2 | | -5n-2=-n-25 | | (5x+4)+(-8x-2)= |

Equations solver categories