If 10logx=11032

, what is the value of x?(1 point)
Responses

32
32

−32
negative 32

10−32
10 superscript negative 32 baseline

1032

1 answer

To solve the equation \( 10 \log x = 11032 \), we start by isolating \( \log x \):

\[ \log x = \frac{11032}{10} \] \[ \log x = 1103.2 \]

Now, to find \( x \), we convert from logarithmic form to exponential form:

\[ x = 10^{1103.2} \]

Thus, the value of \( x \) is \( 10^{1103.2} \), which is equivalent to \( 10^{1103} \times 10^{0.2} \).

The values you've provided do not include \( 10^{1103.2} \) or any meaningful representation of it like \( 10^{32} \) or \(-32\). However, the answer most closely aligns with \( x \) being a very large number.

If you need to select from the options given:

  • 32
  • −32
  • 10−32
  • 1032

None of these options represent \( 10^{1103.2} \), which is far larger than those values. If simplification after being asked for a notation would be necessary, please specify the expected format, as none of the provided answers accurately correspond to \( x \).

In conclusion, the value of \( x \) is \( 10^{1103.2} \), which does not match any of the options provided.