What is the answer to 3=4*log_{10}(5x+2) ?

The answer to 3=4*log_{10}(5x+2) is x=(10^{3/4}-2)/5

Solve for x: 3=4*log_{10}(5x+2)

The solution is x=(10^{3/4}-2)/5

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3 = 4 \cdot lo g_{10} (5 x + 2)

x = \frac{1 0 ^{\frac{3}{4}} - 2}{5}

Decimal Notation

x = 0.72468 \dots

Solution steps

3 = 4 lo g_{10} (5 x + 2)

Switch sides

4 lo g_{10} (5 x + 2) = 3

Divide both sides by

4

lo g_{10} (5 x + 2) = \frac{3}{4}

Apply log rules

5 x + 2 = 1 0^{\frac{3}{4}}

Solve

5 x + 2 = 1 0^{\frac{3}{4}} : x = \frac{1 0 ^{\frac{3}{4}} - 2}{5}

x = \frac{1 0 ^{\frac{3}{4}} - 2}{5}

Verify Solutions:

x = \frac{1 0 ^{\frac{3}{4}} - 2}{5}

True

The solution is

x = \frac{1 0 ^{\frac{3}{4}} - 2}{5}

751043 = 48484 \cdot ln (x) + 67854

lo g_{6} (4 x + 8) - 2 = 0

0.1 = lo g_{e} (\frac{x}{100})

ln (x) - ln (x + 2) = 2

ln (x + 2) - ln (8) = 2

What is the answer to 3=4*log_{10}(5x+2) ?
The answer to 3=4*log_{10}(5x+2) is x=(10^{3/4}-2)/5
Solve for x: 3=4*log_{10}(5x+2)
The solution is x=(10^{3/4}-2)/5