What is the answer to 338=125log_{10}(0.8x)+83 ?

The answer to 338=125log_{10}(0.8x)+83 is x=125\sqrt[25]{10}

Solve for x: 338=125log_{10}(0.8x)+83

The solution is x=125\sqrt[25]{10}

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338 = 125 lo g_{10} (0.8 x) + 83

x = 1252510

Decimal

x = 137.05977 \dots

Solution steps

338 = 125 lo g_{10} (0.8 x) + 83

Switch sides

125 lo g_{10} (0.8 x) + 83 = 338

Move

83

to the right side

125 lo g_{10} (0.8 x) = 255

Divide both sides by

125

lo g_{10} (0.8 x) = \frac{51}{25}

Apply log rules

0.8 x = 1002510

Solve

0.8 x = 1002510 : x = 1252510

x = 1252510

Verify Solutions:

x = 1252510

True

The solution is

x = 1252510

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

lo g_{5} (x - 7) = 2

lo g_{2} (x + 3) = 0

lo g_{10} (a) = 0

lo g_{b} (49) = 2

What is the answer to 338=125log_{10}(0.8x)+83 ?
The answer to 338=125log_{10}(0.8x)+83 is x=125\sqrt[25]{10}
Solve for x: 338=125log_{10}(0.8x)+83
The solution is x=125\sqrt[25]{10}