Question

Use numerals instead of words.

Answer 1

Answer:

x = 50

Step-by-step explanation:

$log_{10}(2x) = 2$

Use the following property.

$log_{a}(m) = n \\ {a}^{n} = m$

${10}^{2} = 2x \\ 100 = 2x \\ \frac{100}{2} = x \\ 50 = x$

Therefore, the value of x is 50.

Answer Check

Substitute x = 50 in the equation.

$log_{10}(2x) = 2 \\ log_{10}(2(50)) = 2 \\ log_{10}(100) = 2 \\ {10}^{2} = 100 \\ 100 = 100$

The equation is true. Therefore x = 50.

Note

If you don't write logarithm with base, it is classified as common logarithm or base 10.