Answer:
z + 12 = 9
Reorder the terms:
12 + z = 9
Solving
12 + z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + z = 9 + -12
Combine like terms: 12 + -12 = 0
0 + z = 9 + -12
z = 9 + -12
Combine like terms: 9 + -12 = -3
z = -3
Simplifying
z = -3
Step-by-step explanation:
The value of 'z' in the given equation using logarithmic identity is -3.
"The logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x."
Given, log z + 12 = 9
⇒ log z = 9 - 12
⇒ log z = -3
⇒ [tex]10^{log z} = 10^{-3}[/tex]
⇒ z = -3
Therefore, the value of 'z' is -3.
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