What is the answer to log_{x}(64)=2 ?

The answer to log_{x}(64)=2 is x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(64)=2

lo g_{x} (64) = 2

x = 8

Solution steps

lo g_{x} (64) = 2

Apply log rules

\frac{1}{lo g _{64} ( x )} = 2

Multiply both sides by

lo g_{64} (x)

\frac{1}{lo g _{64} ( x )} lo g_{64} (x) = 2 lo g_{64} (x)

Simplify

1 = 2 lo g_{64} (x)

Switch sides

2 lo g_{64} (x) = 1

Divide both sides by

2

lo g_{64} (x) = \frac{1}{2}

Apply log rules

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

ln ((x + 1)^{2}) = 2

lo g_{3} (x) = - 3

3 = - lo g_{10} (x)

ln (4 x) - 3 ln (x^{2}) = ln (2)

ln (x) - ln (x^{2}) = 5