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

The answer to log_{4}(x)=(log_{4}(x))^4 is x=1,x=4

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

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

x = 1, x = 4

Solution steps

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

Rewrite the equation with

lo g_{4} (x) = u

u = (u)^{4}

Solve

u = u^{4} : u = 0, u = 1

u = 0, u = 1

Substitute back

u = lo g_{4} (x),

solve for

x

Solve

lo g_{4} (x) = 0 : x = 1

Solve

lo g_{4} (x) = 1 : x = 4

x = 1, x = 4

Verify Solutions:

x = 1

True

, x = 4

True

The solutions are

x = 1, x = 4

ln (3 x - 19) = 4

ln (3 x - 19) = 6

ln (3 x - 19) = 9

lo g_{2} (x + 3) - lo g_{4} (x + 2) = 1

0 = 2 - lo g_{2} (x)

What is the answer to log_{4}(x)=(log_{4}(x))^4 ?
The answer to log_{4}(x)=(log_{4}(x))^4 is x=1,x=4
Solve for x: log_{4}(x)=(log_{4}(x))^4
The solution is x=1,x=4