What is the answer to |log_{5}(x)|=2 ?

The answer to |log_{5}(x)|=2 is x= 1/25 ,x=25

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|log_{5}(x)|=2

∣ lo g_{5} (x) ∣ = 2

x = \frac{1}{25}, x = 25

Decimal Notation

x = 0.04, x = 25

Solution steps

∣ lo g_{5} (x) ∣ = 2

Rewrite the equation with

lo g_{5} (x) = u

∣ u ∣ = 2

Solve

∣ u ∣ = 2 : u = - 2 or u = 2

u = - 2, u = 2

Substitute back

u = lo g_{5} (x),

solve for

x

Solve

lo g_{5} (x) = - 2 : x = \frac{1}{25}

Solve

lo g_{5} (x) = 2 : x = 25

x = \frac{1}{25}, x = 25

Verify Solutions:

x = \frac{1}{25}

True

, x = 25

True

The solutions are

x = \frac{1}{25}, x = 25

(- 32 y^{15})^{\frac{1}{5}}

2 x^{2} - 4 x - 6 = 90

c^{4} + 9 c^{2} + 20

616

10 - 3 x = 16

What is the answer to |log_{5}(x)|=2 ?
The answer to |log_{5}(x)|=2 is x= 1/25 ,x=25
Solve for x: |log_{5}(x)|=2
The solution is x= 1/25 ,x=25