7*Ln(3x)+3*Ln(5x)=15

Simple and best practice solution for 7*Ln(3x)+3*Ln(5x)=15 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 7*Ln(3x)+3*Ln(5x)=15 equation: 


Simplifying
7Ln(3x) + 3Ln(5x) = 15

Remove parenthesis around (3x)
7nL * 3x + 3Ln(5x) = 15

Reorder the terms for easier multiplication:
7 * 3nL * x + 3Ln(5x) = 15

Multiply 7 * 3
21nL * x + 3Ln(5x) = 15

Multiply nL * x
21nxL + 3Ln(5x) = 15

Remove parenthesis around (5x)
21nxL + 3nL * 5x = 15

Reorder the terms for easier multiplication:
21nxL + 3 * 5nL * x = 15

Multiply 3 * 5
21nxL + 15nL * x = 15

Multiply nL * x
21nxL + 15nxL = 15

Combine like terms: 21nxL + 15nxL = 36nxL
36nxL = 15

Solving
36nxL = 15

Solving for variable 'n'.

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

Divide each side by '36xL'.
n = 0.4166666667x-1L-1

Simplifying
n = 0.4166666667x-1L-1

See similar equations:

| 2090=1800+.05x | | X=2(4-3x)-5 | | -9r=-7r+10 | | 5a-4/5=14/15 | | .8x+3.6=.7x+1.7 | | 4z-3=41 | | -6+9d=8d | | 3x-3(x+1)=3whatisx | | 99000=x+.23x | | -3c=-5c+8 | | 17(n-3)=17(8)+17(n) | | 9x^4+20x^2-125=0 | | 7=3+2 | | 4/3-6/5w=-2/9 | | 24=2p | | 6x+30(x-12)=2(x-1) | | -3/2=-2/7u-8/5 | | 11x*4x=360 | | 24+24+24= | | X+(2x+5)=257 | | 2x-27=29 | | 20(5+n)= | | 9y-36=-15x | | 1/15u-3/5=1 | | y-3=-3y-3 | | .83*x-2=.75 | | 5X+10=10X-90 | | 4a*2+3a=5 | | 4(a+6)=5[a-(-7-a)] | | .375*x+4=.67 | | 0=40-0.8t^2 | | 8(1-x)-2(1-x)=2(2-2x) |

Equations solver categories