What is the answer to log_{a}(4)=2 ?

The answer to log_{a}(4)=2 is a=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{a}(4)=2

lo g_{a} (4) = 2

a = 2

Solution steps

lo g_{a} (4) = 2

Apply log rules

\frac{1}{lo g _{4} ( a )} = 2

Multiply both sides by

lo g_{4} (a)

\frac{1}{lo g _{4} ( a )} lo g_{4} (a) = 2 lo g_{4} (a)

Simplify

1 = 2 lo g_{4} (a)

Switch sides

2 lo g_{4} (a) = 1

Divide both sides by

2

lo g_{4} (a) = \frac{1}{2}

Apply log rules

a = 2

Verify Solutions:

a = 2

True

The solution is

a = 2

lo g_{10} (x) = 3.0081

lo g_{6} ((x + 3) (x - 2)) = 2

lo g_{7} (x^{4}) = 4 lo g_{7} (x)

x, 3 - ln (- 2 - x) = 0

lo g_{4} (x - 2) = 2