6540=200+4958lg(x+1)

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Solution for 6540=200+4958lg(x+1) equation:


Simplifying
6540 = 200 + 4958lg(x + 1)

Reorder the terms:
6540 = 200 + 4958gl(1 + x)
6540 = 200 + (1 * 4958gl + x * 4958gl)
6540 = 200 + (4958gl + 4958glx)

Solving
6540 = 200 + 4958gl + 4958glx

Solving for variable 'g'.

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

Add '-4958gl' to each side of the equation.
6540 + -4958gl = 200 + 4958gl + -4958gl + 4958glx

Combine like terms: 4958gl + -4958gl = 0
6540 + -4958gl = 200 + 0 + 4958glx
6540 + -4958gl = 200 + 4958glx

Add '-4958glx' to each side of the equation.
6540 + -4958gl + -4958glx = 200 + 4958glx + -4958glx

Combine like terms: 4958glx + -4958glx = 0
6540 + -4958gl + -4958glx = 200 + 0
6540 + -4958gl + -4958glx = 200

Add '-6540' to each side of the equation.
6540 + -4958gl + -6540 + -4958glx = 200 + -6540

Reorder the terms:
6540 + -6540 + -4958gl + -4958glx = 200 + -6540

Combine like terms: 6540 + -6540 = 0
0 + -4958gl + -4958glx = 200 + -6540
-4958gl + -4958glx = 200 + -6540

Combine like terms: 200 + -6540 = -6340
-4958gl + -4958glx = -6340

Reorder the terms:
6340 + -4958gl + -4958glx = -6340 + 6340

Combine like terms: -6340 + 6340 = 0
6340 + -4958gl + -4958glx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3170 + -2479gl + -2479glx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3170 + -2479gl + -2479glx)' equal to zero and attempt to solve: Simplifying 3170 + -2479gl + -2479glx = 0 Solving 3170 + -2479gl + -2479glx = 0 Move all terms containing g to the left, all other terms to the right. Add '-3170' to each side of the equation. 3170 + -2479gl + -3170 + -2479glx = 0 + -3170 Reorder the terms: 3170 + -3170 + -2479gl + -2479glx = 0 + -3170 Combine like terms: 3170 + -3170 = 0 0 + -2479gl + -2479glx = 0 + -3170 -2479gl + -2479glx = 0 + -3170 Combine like terms: 0 + -3170 = -3170 -2479gl + -2479glx = -3170 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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