If 10log x=1107 , what is the value of x?(1 point) Responses -7 -7 7 7 10−7 10 to the negative 7 power 107 10 to the 7th power

1 answer

To solve the equation \( 10 \log x = 1107 \), we first divide both sides by 10:

\[ \log x = \frac{1107}{10} = 110.7 \]

Next, we can rewrite the equation in exponential form:

\[ x = 10^{110.7} \]

This implies that \( x \) is equal to \( 10^{110.7} \).

Now, we need to compare this with the provided answer options. The closest representation of \( 10^{110.7} \) is not explicitly listed among the options, but it is important to note that \( x \) cannot be simplified to any of the other given options such as \( 7 \) or \( 10^{-7} \).

However, if we were to round \( 110.7 \) to the nearest whole number, we would say \( x = 10^{111} \).

Among the provided choices, you would select the appropriate representation, which is likely intended as \( 10^{7} \), but the correct calculated value of \( x \) is \( 10^{110.7} \).

So, the value of \( x \) is:

\[ x = 10^{110.7} \]

None of the choices directly match \( 10^{110.7} \), which points to the likely initial misunderstanding. However, if simplistically matched, discussions might inform that the closest applicable choice would circulate understanding away from the listed potential \( 10^{-7} \) or number values.