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

The answer to 2*log_{4}(3x)=3 is x= 8/3

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2*log_{4}(3x)=3

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

x = \frac{8}{3}

Solution steps

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

Divide both sides by

2

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

Apply log rules

3 x = 8

Solve

3 x = 8 : x = \frac{8}{3}

x = \frac{8}{3}

Verify Solutions:

x = \frac{8}{3}

True

The solution is

x = \frac{8}{3}

lo g_{8} (x) + lo g_{7} (x) = 1

0 = ln (x^{2})

lo g_{3} (x) - lo g_{9} (x) = 1

3 lo g_{2} (2 x + 1) + 2 = 3

lo g_{10} (x) = \frac{19.55}{20}