2lg(x)=lg(10-3)

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Solution for 2lg(x)=lg(10-3) equation: 


Simplifying
2lg(x) = lg(10 + -3)

Multiply gl * x
2glx = lg(10 + -3)

Combine like terms: 10 + -3 = 7
2glx = gl(7)

Reorder the terms for easier multiplication:
2glx = 7gl

Solving
2glx = 7gl

Solving for variable 'g'.

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

Add '-7gl' to each side of the equation.
-7gl + 2glx = 7gl + -7gl

Combine like terms: 7gl + -7gl = 0
-7gl + 2glx = 0

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(-7 + 2x) = 0


Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve:

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

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

Combine like terms: 2x + -2x = 0
0 = 7 + -2x

Simplifying
0 = 7 + -2x

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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