The value of x is x = -3.
What is solving an equation?
Finding an equation's solutions, or the values that satisfy the condition given by the equation, is known as solving an equation in mathematics. Solutions often consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.
Consider the given equation,
27 = (1/3)^x
This equation can be written as,
[tex]27 = \frac{1^x}{3^x}[/tex]
Here 1^x
1[tex]27 = \frac{1}{3^x}[/tex]
Take 3^x on numerator.
[tex]27 = 3^-^x[/tex]
Now 27 can be written as, [tex]27 = (3)(3)(3) = 3^3[/tex]
⇒ [tex]3^3 = 3^-^x[/tex]
Applying the exponent rule: [tex]a^b=a^c[/tex] ⇒ b = c
So we get,
3 = -x
Multiply both sides by -1.
-3 = x
x = -3
Hence the value of x is x = 3.
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