Question

If the logarithm of $x$ (to the base $10$) is an integer then _____________.

• A. $x=2$
• B. $x={10}^k$ where $k$ is an integer
• C. $x=4$
• D. $x=3$

Answer 1

The correct option is B $x={10}^k$ where $k$ is an integer

By the definition of logarithms

If $lo{g}_1{0}^x=k$ then $x={10}^k$, where $k$ is an integer.