What is the answer to 363=127log_{10}(0.3x)+76 ?

The answer to 363=127log_{10}(0.3x)+76 is x=(1000*10^{33/127})/3

Solve for x: 363=127log_{10}(0.3x)+76

The solution is x=(1000*10^{33/127})/3

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363 = 127 lo g_{10} (0.3 x) + 76

x = \frac{1000 \cdot 1 0 ^{\frac{33}{127}}}{3}

Decimal

x = 606.34704 \dots

Solution steps

363 = 127 lo g_{10} (0.3 x) + 76

Switch sides

127 lo g_{10} (0.3 x) + 76 = 363

Move

76

to the right side

127 lo g_{10} (0.3 x) = 287

Divide both sides by

127

lo g_{10} (0.3 x) = \frac{287}{127}

Apply log rules

0.3 x = 100 \cdot 1 0^{\frac{33}{127}}

Solve

0.3 x = 100 \cdot 1 0^{\frac{33}{127}} : x = \frac{1000 \cdot 1 0 ^{\frac{33}{127}}}{3}

x = \frac{1000 \cdot 1 0 ^{\frac{33}{127}}}{3}

Verify Solutions:

x = \frac{1000 \cdot 1 0 ^{\frac{33}{127}}}{3}

True

The solution is

x = \frac{1000 \cdot 1 0 ^{\frac{33}{127}}}{3}

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

a, lo g_{ab} (b) = 15

lo g_{10} (x) + lo g_{10} (2) = 1

lo g_{10} (3 x + 1) = 5

59.61 = 29.58 ln (\frac{1 0 ^{- 6}}{x \cdot 3})

What is the answer to 363=127log_{10}(0.3x)+76 ?
The answer to 363=127log_{10}(0.3x)+76 is x=(1000*10^{33/127})/3
Solve for x: 363=127log_{10}(0.3x)+76
The solution is x=(1000*10^{33/127})/3