What is the answer to 62=10log_{10}(x/(85)) ?

The answer to 62=10log_{10}(x/(85)) is x=85000000\sqrt[5]{10}

Solve for x: 62=10log_{10}(x/(85))

The solution is x=85000000\sqrt[5]{10}

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62 = 10 lo g_{10} (\frac{x}{85})

Decimal Notation

x = 134715921.35919 \dots

Solution steps

62 = 10 lo g_{10} (\frac{x}{85})

Switch sides

10 lo g_{10} (\frac{x}{85}) = 62

Divide both sides by

10

lo g_{10} (\frac{x}{85}) = \frac{31}{5}

Apply log rules

\frac{x}{85} = 1 0^{\frac{31}{5}}

Multiply both sides by

85

\frac{x}{85} \cdot 85 = 1 0^{\frac{31}{5}} \cdot 85

Simplify

Verify Solutions:

True

The solution is

0.501 = lo g_{10} (x)

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

3.28 = - lo g_{10} (x)

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

lo g_{3} (x) = 4 lo g_{10} (x) 3

What is the answer to 62=10log_{10}(x/(85)) ?
The answer to 62=10log_{10}(x/(85)) is x=85000000\sqrt[5]{10}
Solve for x: 62=10log_{10}(x/(85))
The solution is x=85000000\sqrt[5]{10}