log[3]4x+7=2+log[3]x

Simple and best practice solution for log[3]4x+7=2+log[3]x 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[3]4x+7=2+log[3]x equation:


Simplifying
log[3] * 4x + 7 = 2 + log[3] * x

Reorder the terms for easier multiplication:
3 * 4glo * x + 7 = 2 + log[3] * x

Multiply 3 * 4
12glo * x + 7 = 2 + log[3] * x

Multiply glo * x
12glox + 7 = 2 + log[3] * x

Reorder the terms:
7 + 12glox = 2 + log[3] * x

Reorder the terms for easier multiplication:
7 + 12glox = 2 + 3glo * x

Multiply glo * x
7 + 12glox = 2 + 3glox

Solving
7 + 12glox = 2 + 3glox

Solving for variable 'g'.

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

Add '-3glox' to each side of the equation.
7 + 12glox + -3glox = 2 + 3glox + -3glox

Combine like terms: 12glox + -3glox = 9glox
7 + 9glox = 2 + 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
7 + 9glox = 2 + 0
7 + 9glox = 2

Add '-7' to each side of the equation.
7 + -7 + 9glox = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 9glox = 2 + -7
9glox = 2 + -7

Combine like terms: 2 + -7 = -5
9glox = -5

Divide each side by '9lox'.
g = -0.5555555556l-1o-1x-1

Simplifying
g = -0.5555555556l-1o-1x-1

See similar equations:

| s=1400(t-15)+150000 | | 49x^2+7x+6=7(x+10) | | y=a(x^2+1x-6) | | 2a-2=30 | | X+(2x+4)+(3x-2)+(x+1)=360 | | 2x*2X+X-10=0 | | (4x-2)(3x+8)-(2x+4)(6x-4)=50 | | 75*2=4*c | | 3(20-y)+11y=100 | | y+16=52whatisy | | w^2+4w+8=0 | | y+16=52solvey | | f(x)=3cos(pix) | | x=202000-800(224000-800x) | | 6b+8y=14g | | ln(x-4)+ln(x-5)=1 | | x=224000-800(202000-800x) | | y=cos(3y) | | -x^2-5x+66=49 | | 3q=2p+4 | | cos(18x)=0 | | x=60-0.5(60-0.5x) | | r-7=6*r | | 20x^2-8x=64 | | x+13-2=x | | c*3+1=c*2-5 | | 0=16t(t-7) | | 4*p-5=11 | | lg(x-5)=4 | | 0.960=log(x) | | h+h+8=44 | | m^2=m+6 |

Equations solver categories