What is the answer to log_{10}(x^4)=2 ?

The answer to log_{10}(x^4)=2 is x=sqrt(10),x=-sqrt(10)

Solve for x: log_{10}(x^4)=2

The solution is x=sqrt(10),x=-sqrt(10)

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lo g_{10} (x^{4}) = 2

x = 10, x = - 10

Decimal

x = 3.16227 \dots, x = - 3.16227 \dots

Solution steps

lo g_{10} (x^{4}) = 2

Apply exponent rule:

a^{2 \cdot n} = (a^{2})^{n}

x^{4} = (x^{2})^{2}

lo g_{10} ((x^{2})^{2}) = 2

Apply log rules

x^{2} = 10

Solve

x^{2} = 10 : x = 10, x = - 10

x = 10, x = - 10

Verify Solutions:

x = 10

True

, x = - 10

True

The solutions are

x = 10, x = - 10

- x \cdot ln (x)

lo g_{x} (\frac{1}{512}) = - \frac{3}{2}

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

lo g_{5} (x^{2} + 9) = 2

x, z = ln (x^{2}) + 2 x y - 2 y

What is the answer to log_{10}(x^4)=2 ?
The answer to log_{10}(x^4)=2 is x=sqrt(10),x=-sqrt(10)
Solve for x: log_{10}(x^4)=2
The solution is x=sqrt(10),x=-sqrt(10)