What is the answer to 3=8log_{10}(6x+3) ?

The answer to 3=8log_{10}(6x+3) is x=(10^{3/8}-3)/6

Solve for x: 3=8log_{10}(6x+3)

The solution is x=(10^{3/8}-3)/6

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3 = 8 lo g_{10} (6 x + 3)

x = \frac{1 0 ^{\frac{3}{8}} - 3}{6}

Solution steps

3 = 8 lo g_{10} (6 x + 3)

Switch sides

8 lo g_{10} (6 x + 3) = 3

Divide both sides by

8

lo g_{10} (6 x + 3) = \frac{3}{8}

Apply log rules

6 x + 3 = 1 0^{\frac{3}{8}}

Solve

6 x + 3 = 1 0^{\frac{3}{8}} : x = \frac{1 0 ^{\frac{3}{8}} - 3}{6}

x = \frac{1 0 ^{\frac{3}{8}} - 3}{6}

Verify Solutions:

x = \frac{1 0 ^{\frac{3}{8}} - 3}{6}

True

The solution is

x = \frac{1 0 ^{\frac{3}{8}} - 3}{6}

0 = 2 x ln (2 x) + x

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

4 ln (7 x - 8) - 13 = - 25

ln (x + 63) - ln (5 - 4 x) = 6 ln (2)

lo g_{81} (x) = \frac{3}{4}

What is the answer to 3=8log_{10}(6x+3) ?
The answer to 3=8log_{10}(6x+3) is x=(10^{3/8}-3)/6
Solve for x: 3=8log_{10}(6x+3)
The solution is x=(10^{3/8}-3)/6