What is the answer to log_{6}(8x)-3log_{6}(3)=2 ?

The answer to log_{6}(8x)-3log_{6}(3)=2 is x= 243/2

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log_{6}(8x)-3log_{6}(3)=2

lo g_{6} (8 x) - 3 lo g_{6} (3) = 2

x = \frac{243}{2}

Decimal Notation

x = 121.5

Solution steps

lo g_{6} (8 x) - 3 lo g_{6} (3) = 2

Move

3 lo g_{6} (3)

to the right side

lo g_{6} (8 x) = 2 + 3 lo g_{6} (3)

Apply log rules

8 x = 972

Solve

8 x = 972 : x = \frac{243}{2}

x = \frac{243}{2}

Verify Solutions:

x = \frac{243}{2}

True

The solution is

x = \frac{243}{2}

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

lo g_{x} (10) = 2

50 = 10.751 ln (x) + 62.069

lo g_{x} (4096) = 4

a, lo g_{2} (a) = b

What is the answer to log_{6}(8x)-3log_{6}(3)=2 ?
The answer to log_{6}(8x)-3log_{6}(3)=2 is x= 243/2
Solve for x: log_{6}(8x)-3log_{6}(3)=2
The solution is x= 243/2