What is the answer to log_{x}(0.05)=-2 ?

The answer to log_{x}(0.05)=-2 is x=2sqrt(5)

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log_{x}(0.05)=-2

lo g_{x} (0.05) = - 2

x = 25

Decimal

x = 4.47213 \dots

Solution steps

lo g_{x} (0.05) = - 2

Apply log rules

\frac{1}{lo g _{0.05} ( x )} = - 2

Multiply both sides by

lo g_{0.05} (x)

\frac{1}{lo g _{0.05} ( x )} lo g_{0.05} (x) = - 2 lo g_{0.05} (x)

Apply log rules

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

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

ln (x) + ln (x^{2}) = 6

- 30 = 20 lo g_{10} (10 \cdot m)

y, 3 ln (x) = ln (y)

20 lo g_{10} (\frac{x}{2}) = a

What is the answer to log_{x}(0.05)=-2 ?
The answer to log_{x}(0.05)=-2 is x=2sqrt(5)
Solve for x: log_{x}(0.05)=-2
The solution is x=2sqrt(5)