Log[5]x^2=log[5]16

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Solution for Log[5]x^2=log[5]16 equation: 


Simplifying
Log[5] * x2 = log[5] * 16

Reorder the terms for easier multiplication:
5goL * x2 = log[5] * 16

Multiply goL * x2
5gox2L = log[5] * 16

Reorder the terms for easier multiplication:
5gox2L = 5 * 16glo

Multiply 5 * 16
5gox2L = 80glo

Solving
5gox2L = 80glo

Solving for variable 'g'.

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

Add '-80glo' to each side of the equation.
-80glo + 5gox2L = 80glo + -80glo

Combine like terms: 80glo + -80glo = 0
-80glo + 5gox2L = 0

Factor out the Greatest Common Factor (GCF), '5go'.
5go(-16l + x2L) = 0

Ignore the factor 5.

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

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-16l + x2L)' equal to zero and attempt to solve:

Simplifying
-16l + x2L = 0

Solving
-16l + x2L = 0

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

Add '16l' to each side of the equation.
-16l + 16l + x2L = 0 + 16l

Combine like terms: -16l + 16l = 0
0 + x2L = 0 + 16l
x2L = 0 + 16l
Remove the zero:
x2L = 16l

Add '-1x2L' to each side of the equation.
x2L + -1x2L = 16l + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = 16l + -1x2L

Simplifying
0 = 16l + -1x2L

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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