Question

Use numerals instead of words.

What value of x satisfies this equation?
log(2x) = 2
The value of Xis

Answer 1

x = 50

Explanation:

`log_(10)(2x) = 2`

Use the following property.

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

`{10}^(2) = 2x \\ 100 = 2x \\ (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.