What is the answer to 85=-591log_{10}(x) ?

The answer to 85=-591log_{10}(x) is x= 1/(10^{85/591)}

Solve for x: 85=-591log_{10}(x)

The solution is x= 1/(10^{85/591)}

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85 = - 591 lo g_{10} (x)

x = \frac{1}{1 0 ^{\frac{85}{591}}}

Decimal

x = 0.71808 \dots

Solution steps

85 = - 591 lo g_{10} (x)

Switch sides

- 591 lo g_{10} (x) = 85

Divide both sides by

- 591

lo g_{10} (x) = - \frac{85}{591}

Apply log rules

x = \frac{1}{1 0 ^{\frac{85}{591}}}

Verify Solutions:

x = \frac{1}{1 0 ^{\frac{85}{591}}}

True

The solution is

x = \frac{1}{1 0 ^{\frac{85}{591}}}

lo g_{6} (7) - lo g_{6} (2 x) = 1

ln (2 x) = - \frac{1}{10}

lo g_{2} (8 x + 1) = 4

lo g_{10} (x^{4} - 4) - lo g_{10} (x^{2} + 2) = 0

2 lo g_{7} (x - 1) = 0

What is the answer to 85=-591log_{10}(x) ?
The answer to 85=-591log_{10}(x) is x= 1/(10^{85/591)}
Solve for x: 85=-591log_{10}(x)
The solution is x= 1/(10^{85/591)}