What is the answer to log_{3}(log_{5}(x^2))=1 ?

The answer to log_{3}(log_{5}(x^2))=1 is x=5sqrt(5),x=-5sqrt(5)

Solve for x: log_{3}(log_{5}(x^2))=1

The solution is x=5sqrt(5),x=-5sqrt(5)

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lo g_{3} (lo g_{5} (x^{2})) = 1

x = 55, x = - 55

Decimal Notation

x = 11.18033 \dots, x = - 11.18033 \dots

Solution steps

lo g_{3} (lo g_{5} (x^{2})) = 1

Apply log rules

x^{2} = 125

Solve

x^{2} = 125 : x = 55, x = - 55

x = 55, x = - 55

Verify Solutions:

x = 55

True

, x = - 55

True

The solutions are

x = 55, x = - 55

- 1 = 10 lo g_{10} (x)

lo g_{10} (x) 9 = 2

lo g_{10} (x - 1) = 0

3 = lo g_{2} (x)

lo g_{x} (3) = \frac{1}{4}

What is the answer to log_{3}(log_{5}(x^2))=1 ?
The answer to log_{3}(log_{5}(x^2))=1 is x=5sqrt(5),x=-5sqrt(5)
Solve for x: log_{3}(log_{5}(x^2))=1
The solution is x=5sqrt(5),x=-5sqrt(5)