What is the answer to 3+2log_{2}(x)=log_{2}(14x-3) ?

The answer to 3+2log_{2}(x)=log_{2}(14x-3) is x= 3/2 ,x= 1/4

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3+2log_{2}(x)=log_{2}(14x-3)

3 + 2 lo g_{2} (x) = lo g_{2} (14 x - 3)

x = \frac{3}{2}, x = \frac{1}{4}

Decimal Notation

x = 1.5, x = 0.25

Solution steps

3 + 2 lo g_{2} (x) = lo g_{2} (14 x - 3)

Apply log rules

8 x^{2} = 14 x - 3

Solve

8 x^{2} = 14 x - 3 : x = \frac{3}{2}, x = \frac{1}{4}

x = \frac{3}{2}, x = \frac{1}{4}

Verify Solutions:

x = \frac{3}{2}

True

, x = \frac{1}{4}

True

The solutions are

x = \frac{3}{2}, x = \frac{1}{4}

lo g_{2} (5 x - 3) = 5

0.53 = lo g_{10} (x)

lo g_{10} (x^{2} - 3) = 0

ln (7 x + e) = 3

lo g_{0.3} (x) = - 2

What is the answer to 3+2log_{2}(x)=log_{2}(14x-3) ?
The answer to 3+2log_{2}(x)=log_{2}(14x-3) is x= 3/2 ,x= 1/4
Solve for x: 3+2log_{2}(x)=log_{2}(14x-3)
The solution is x= 3/2 ,x= 1/4