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

The answer to 4log_{10}(3x)=3 is x=(10^{3/4})/3

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4log_{10}(3x)=3

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

x = \frac{1 0 ^{\frac{3}{4}}}{3}

Decimal Notation

x = 1.87447 \dots

Solution steps

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

Divide both sides by

4

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

Apply log rules

3 x = 1 0^{\frac{3}{4}}

Solve

3 x = 1 0^{\frac{3}{4}} : x = \frac{1 0 ^{\frac{3}{4}}}{3}

x = \frac{1 0 ^{\frac{3}{4}}}{3}

Verify Solutions:

x = \frac{1 0 ^{\frac{3}{4}}}{3}

True

The solution is

x = \frac{1 0 ^{\frac{3}{4}}}{3}

lo g_{3} (4 x - 19) = 4

2 ln (6 x - 3) + 5 = 15

lo g_{3} (d) = 2

lo g_{2} (8) + lo g_{2} (x) = 5

ln (x) + 2 x - 4 = 0

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