Write the equation in its equivalent exponential form. Then solve for x.

Question

log Subscript 2 Baseline x equals negative 6
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Part 1
log Subscript 2 Baseline x equals negative 6 in its equivalent exponential form is
  
enter your response here. ​(Do not​ simplify.)

Answer 1

To convert the logarithmic equation \( \log_2 x = -6 \) to its equivalent exponential form, we can use the definition of logarithms. The equation can be rewritten in the following way:

\[ x = 2^{-6} \]

Now that we have the equation in its exponential form, let's solve for \( x \):

\[ x = 2^{-6} \] \[ x = \frac{1}{2^6} = \frac{1}{64} \]

Thus, the solution for \( x \) is:

\[ x = \frac{1}{64} \]