What is the answer to 395=113log_{10}(0.1x)+78 ?

The answer to 395=113log_{10}(0.1x)+78 is x=1000*10^{91/113}

Solve for x: 395=113log_{10}(0.1x)+78

The solution is x=1000*10^{91/113}

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395 = 113 lo g_{10} (0.1 x) + 78

x = 1000 \cdot 1 0^{\frac{91}{113}}

Decimal

x = 6387.18851 \dots

Solution steps

395 = 113 lo g_{10} (0.1 x) + 78

Switch sides

113 lo g_{10} (0.1 x) + 78 = 395

Move

78

to the right side

113 lo g_{10} (0.1 x) = 317

Divide both sides by

113

lo g_{10} (0.1 x) = \frac{317}{113}

Apply log rules

0.1 x = 100 \cdot 1 0^{\frac{91}{113}}

Solve

0.1 x = 100 \cdot 1 0^{\frac{91}{113}} : x = 1000 \cdot 1 0^{\frac{91}{113}}

x = 1000 \cdot 1 0^{\frac{91}{113}}

Verify Solutions:

x = 1000 \cdot 1 0^{\frac{91}{113}}

True

The solution is

x = 1000 \cdot 1 0^{\frac{91}{113}}

x^{l o g_{2} (x)} = 4 x

2 lo g_{10} (x - 1) = 0

lo g_{7} (x^{2} - 2 x - 8) = 1

lo g_{2} (x^{2} - 3 x + 10) = 3

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

What is the answer to 395=113log_{10}(0.1x)+78 ?
The answer to 395=113log_{10}(0.1x)+78 is x=1000*10^{91/113}
Solve for x: 395=113log_{10}(0.1x)+78
The solution is x=1000*10^{91/113}