Log equation

We need to solve the equation:

$log 5x=log (2x+9)$

Canceling $log$ on both sides.

$5x=2x+9$

$5x-2x=9$

$3x=9$

$x=3$

Thus, the answer is: $x=\boxed{3}$

$5x=2x+9\implies x=\boxed{3}$ .

Hello,

as given log(5x) = log(2x+9) ,

log(5x) = log(2x+9)

5x = 2x + 9

3x = 9

x = 3

Therefore , x = 3,

As base of log is 10. so, log5x=log(2x+9) can be written as 5x=2x+9 =3

Brute force with Python sympy library. I love checking to see what the library can do.

>>> from sympy import *

>>> x=symbols('x')

>>> solve(Eq(log(5 x)-log(2 x+9)),x)

[3]

remove log and do linear equation.

Just remove the log from the two sides and solve

log(5x)=log(2x+9) e^5x=e^(2x+9) 5x=2x+9 x=3

log(5x) = log(2x+9)

10^log5x = 10^log(2x+9)

By applying the laws of logarithms,

5x = 2x + 9

The rest is solved below

since log(5x)=log(2x+9), we can say that

5x=2x+9 [since both logs have same base, assumed to be 10]

3x=9

x=3

What is question???

$log5x=log(2x+9)\\ Cancelled\quad log\quad on\quad both\quad sides\\ we\quad have\\ \quad \quad \quad 5x=2x+9\\ =>\quad 5x-2x=9\\ =>\quad 3x=9\\ =>\quad x=\frac { 9 }{ 3 } \\ =>\quad \boxed { x=3 } \quad Answer\quad$

5x = 2x + 9,
3x = 9,
x = 9/3 = 3

Solve log(5x) = log (2x+9)

5x = 2x+9 3x = 9 x = 3