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

The answer to log_{2}(8x)=6log_{8}(2x)+2 is x= 1/2

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log_{2}(8x)=6log_{8}(2x)+2

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Apply log rules

x = \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

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

3 + 4 ln (2 x) = 15

lo g_{2} (8 x) - 3 lo g_{2} (4) = 3

ln (x + 4) + ln (3) = 8

lo g_{x} (2 x^{2} - 9 x + 18) = 2

What is the answer to log_{2}(8x)=6log_{8}(2x)+2 ?
The answer to log_{2}(8x)=6log_{8}(2x)+2 is x= 1/2
Solve for x: log_{2}(8x)=6log_{8}(2x)+2
The solution is x= 1/2