What is the answer to 93=10log_{10}(x^2) ?

The answer to 93=10log_{10}(x^2) is x=10^{3/20}sqrt(1000000000),x=-10^{3/20}sqrt(1000000000)

Solve for x: 93=10log_{10}(x^2)

The solution is x=10^{3/20}sqrt(1000000000),x=-10^{3/20}sqrt(1000000000)

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93 = 10 lo g_{10} (x^{2})

x = 1 0^{\frac{3}{20}} 1000000000, x = - 1 0^{\frac{3}{20}} 1000000000

Decimal Notation

x = 44668.35921 \dots, x = - 44668.35921 \dots

Solution steps

93 = 10 lo g_{10} (x^{2})

Switch sides

10 lo g_{10} (x^{2}) = 93

Divide both sides by

10

lo g_{10} (x^{2}) = \frac{93}{10}

Apply log rules

x^{2} = 1000000000 \cdot 1 0^{\frac{3}{10}}

Solve

x^{2} = 1000000000 \cdot 1 0^{\frac{3}{10}} : x = 1 0^{\frac{3}{20}} 1000000000, x = - 1 0^{\frac{3}{20}} 1000000000

x = 1 0^{\frac{3}{20}} 1000000000, x = - 1 0^{\frac{3}{20}} 1000000000

Verify Solutions:

x = 1 0^{\frac{3}{20}} 1000000000

True

, x = - 1 0^{\frac{3}{20}} 1000000000

True

The solutions are

x = 1 0^{\frac{3}{20}} 1000000000, x = - 1 0^{\frac{3}{20}} 1000000000

7.8 = - lo g_{10} (x)

lo g_{3} (16 + 2 x) = 13

lo g_{10} (x) = - 1.22

8 = 4 lo g_{10} (\frac{t - 2}{20})

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

What is the answer to 93=10log_{10}(x^2) ?
The answer to 93=10log_{10}(x^2) is x=10^{3/20}sqrt(1000000000),x=-10^{3/20}sqrt(1000000000)
Solve for x: 93=10log_{10}(x^2)
The solution is x=10^{3/20}sqrt(1000000000),x=-10^{3/20}sqrt(1000000000)