If 10logx=1108

Question

10
log
⁡
𝑥
=
1
10
8
, what is the value of x?(1 point)
Responses

8
8

108
10
8
10 superscript 8 baseline

−8
−
8
negative 8

10−8

Answer 1

To solve the equation $10\log x=1108$, we can start by isolating the logarithm:

$$\log x=\frac{1108}{10}=110.8$$

Next, we can rewrite this in exponential form to find $x$:

$$x={10}^{110.8}$$

So, the value of $x$ is ${10}^{110.8}$.

From the responses you provided, it seems like the only relevant response is ${10}^8$. However, it's important to note that $x={10}^{110.8}$, which is not ${10}^8$, nor any of the other options listed as responses. The closest reasonable answer based on typical interpretations may have been mistyped or misread.

To clarify:

The value of $x$ is: $${10}^{110.8}$$