2logx-log(5x+60)=1

Solution for 2logx-log(5x+60)=1 equation:

Simplifying
2logx + -1log(5x + 60) = 1

Reorder the terms:
2glox + -1glo(60 + 5x) = 1
2glox + (60 * -1glo + 5x * -1glo) = 1
2glox + (-60glo + -5glox) = 1

Reorder the terms:
-60glo + 2glox + -5glox = 1

Combine like terms: 2glox + -5glox = -3glox
-60glo + -3glox = 1

Solving
-60glo + -3glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -60glo + -3glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -60glo + -3glox = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 60glo + 3glox) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + 60glo + 3glox)' equal to zero and attempt to solve:

Simplifying
1 + 60glo + 3glox = 0

Solving
1 + 60glo + 3glox = 0

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

Add '-1' to each side of the equation.
1 + 60glo + -1 + 3glox = 0 + -1

Reorder the terms:
1 + -1 + 60glo + 3glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 60glo + 3glox = 0 + -1
60glo + 3glox = 0 + -1

Combine like terms: 0 + -1 = -1
60glo + 3glox = -1

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.