Question

14. Log(x)=2meansa. x=10b. x=2^10c. x=10^2d. x=0e. none of the above

Answer 1

`x=10^2\text{ (option C)}`Step-by-step explanation:
`\begin{gathered} \log (x)\text{ = 2} \\ \log (x)\text{ }is\text{ }the\text{ }same\text{ }as\text{ }log_{\mleft\{10\mright\}}x \end{gathered}`
`\begin{gathered} \log _(10)(x)\text{ = 2} \\ converting\text{ to exponential form:} \\ \text{the base 10 on the left side becomes the exponent on the other side of the equation} \\ x=10^2 \end{gathered}`
`\begin{gathered} x\text{ = 100} \\ \text{From the options, the value of x is in exponents:} \\ x=10^2\text{ (option C)} \end{gathered}`