What is the answer to log_{2}(x^4)=32 ?

The answer to log_{2}(x^4)=32 is x=256,x=-256

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log_{2}(x^4)=32

lo g_{2} (x^{4}) = 32

x = 256, x = - 256

Solution steps

lo g_{2} (x^{4}) = 32

Apply exponent rule:

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

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

lo g_{2} ((x^{2})^{2}) = 32

Apply log rules

x^{2} = 65536

Solve

x^{2} = 65536 : x = 256, x = - 256

x = 256, x = - 256

Verify Solutions:

x = 256

True

, x = - 256

True

The solutions are

x = 256, x = - 256

lo g_{2} (x) B

lo g_{3} (x^{3}) = 0

lo g_{x} (5) = 0.7

lo g_{6} (2 x^{2} - 8 x + 12) = 2

lo g_{x} (1) = 7

What is the answer to log_{2}(x^4)=32 ?
The answer to log_{2}(x^4)=32 is x=256,x=-256
Solve for x: log_{2}(x^4)=32
The solution is x=256,x=-256