logb(16)+logb(5)=logb(x)

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Solution for logb(16)+logb(5)=logb(x) equation: 


Simplifying
logb(16) + logb(5) = logb(x)

Reorder the terms for easier multiplication:
16bglo + logb(5) = logb(x)

Reorder the terms for easier multiplication:
16bglo + 5bglo = logb(x)

Combine like terms: 16bglo + 5bglo = 21bglo
21bglo = logb(x)

Multiply bglo * x
21bglo = bglox

Solving
21bglo = bglox

Solving for variable 'b'.

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

Add '-1bglox' to each side of the equation.
21bglo + -1bglox = bglox + -1bglox

Combine like terms: bglox + -1bglox = 0
21bglo + -1bglox = 0

Factor out the Greatest Common Factor (GCF), 'bglo'.
bglo(21 + -1x) = 0


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

Simplifying
bglo = 0

Solving
bglo = 0

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

Simplifying
bglo = 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 '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Add 'x' to each side of the equation.
-1x + x = -21 + x

Combine like terms: -1x + x = 0
0 = -21 + x

Simplifying
0 = -21 + x

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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