What is the answer to log_{a}(x^2)-4=2log_{a}(6) ?

The answer to log_{a}(x^2)-4=2log_{a}(6) is x=6a^2 {0 1},x=-6a^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{a}(x^2)-4=2log_{a}(6)

lo g_{a} (x^{2}) - 4 = 2 lo g_{a} (6)

x = 6 a^{2} {0 < a < 1 or a > 1}, x = - 6 a^{2}

Solution steps

lo g_{a} (x^{2}) - 4 = 2 lo g_{a} (6)

Move

4

to the right side

lo g_{a} (x^{2}) = 2 lo g_{a} (6) + 4

Apply log rules

x^{2} = 36 a^{4}

Solve

x^{2} = 36 a^{4} : x = 6 a^{2}, x = - 6 a^{2}

x = 6 a^{2}, x = - 6 a^{2}

Verify Solutions:

x = 6 a^{2} {0 < a < 1 or a > 1}, x = - 6 a^{2}

True

The solutions are

x = 6 a^{2} {0 < a < 1 or a > 1}, x = - 6 a^{2}

lo g_{x} (9) = - 2

lo g_{2} (x) + lo g_{2} (x - 6) = 4

ln (x^{2}) = 10

ln (x + 1) - ln (x) = 1

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

What is the answer to log_{a}(x^2)-4=2log_{a}(6) ?
The answer to log_{a}(x^2)-4=2log_{a}(6) is x=6a^2 {0<a<1\lor a>1},x=-6a^2