log(7)(x+7)-log(7)(x-2)=3

Simple and best practice solution for log(7)(x+7)-log(7)(x-2)=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(7)(x+7)-log(7)(x-2)=3 equation:


Simplifying
log(7)(x + 7) + -1log(7)(x + -2) = 3

Reorder the terms:
glo * 7(7 + x) + -1log(7)(x + -2) = 3

Reorder the terms for easier multiplication:
7glo(7 + x) + -1log(7)(x + -2) = 3
(7 * 7glo + x * 7glo) + -1log(7)(x + -2) = 3
(49glo + 7glox) + -1log(7)(x + -2) = 3

Reorder the terms:
49glo + 7glox + -1glo * 7(-2 + x) = 3

Reorder the terms for easier multiplication:
49glo + 7glox + -1 * 7glo(-2 + x) = 3

Multiply -1 * 7
49glo + 7glox + -7glo(-2 + x) = 3
49glo + 7glox + (-2 * -7glo + x * -7glo) = 3
49glo + 7glox + (14glo + -7glox) = 3

Reorder the terms:
49glo + 14glo + 7glox + -7glox = 3

Combine like terms: 49glo + 14glo = 63glo
63glo + 7glox + -7glox = 3

Combine like terms: 7glox + -7glox = 0
63glo + 0 = 3
63glo = 3

Solving
63glo = 3

Solving for variable 'g'.

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

Divide each side by '63lo'.
g = 0.04761904762l-1o-1

Simplifying
g = 0.04761904762l-1o-1

See similar equations:

| -3K+[-4K]=-14 | | -6(2x-3)+4x-9x=52 | | 3x-14x=5 | | 2*x^4-9*x^3+8*x^2-9*x+2=0 | | 2x+3x=10+3x | | -4(x+7)-(3x+5)=-5 | | -0.5(-6-2)=-6-2 | | 2*x^4-9*x^3+8*x^2+9*x+2=0 | | 3v+1=3v | | 2b+5+b=2(b+8) | | 7x+5=-35 | | 2x-y=-13isolatey | | 5x-(2x-7)=10 | | 5x=9y+75 | | -9=(r/4) | | (6*1)=7-(4y) | | 5-15X=8-16X | | 2*x^4-9*x^3+8*x^9*x+2=0 | | s-2s+3s-4+5s=s+100 | | -4w=4w | | 3x+3+2x=13 | | Y=4cos(x^2-1) | | 6+5x=2-7x | | -4y=4w | | -2.7+8.3= | | -7x-26=-10x+19 | | (6*2)=7-(4y) | | 4g+28=-4(3-2g) | | -61+3x=-5x+59 | | 1(x-2)+7x=4(2x+5)-13 | | F(x)=-0.75 | | 0=-120cos(x) |

Equations solver categories